10) An integrating factor for the differential equation (y + ye³)dx + (4x + 4xe + xye")dy = 0 is given by: a) x-3 b) y³ c) 3y

Q: By the alimination of the arbitary constants a and b ,obtain the differential equation of which…

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Q: 1. The point (0,1) is intersect point of the differential equation (2x – 3y – 1)dx – [6(2x - 3y) –…

A: (2x-3y-1)dx-(6(2x-3y)-1)dy=0dydx=6(2x-3y)-1(2x-3y)-1 let…

Q: 7. (х + 2у)dx — хау 3D0 Ans:y 3 x(сх — 1)

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Q: 2. Show that k(x, y) = e2ª cos (x + In y) is a solution to the differential equation 2k – ykya = 5k.

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Q: 13 Find solution of non-homogeneous differential equation (D* +1)y = sin (3x)

A: Find complementary function and particular integral

Q: The Bernoulli's form of the differential equation 2x³dy-− y(y² + 3x² ]dx = 0 is

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Solve the second order differential equation ÿ + 3y = x3 + sin x sinx +글stnx +sinx D: y = c,cosv3x +…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 4) In the differential equation of, y(x³ – y)dx – x(x³ + y)dy = 0 where a and ß are constants, what…

A: Question from ordinary differential equations.

Q: 4. The standard form of the first order linear differential equation x'y'+xy + 2 = 0 is

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Q: b Show that y = e' sinx %3D satisfies the differential equation (1 - x²)y" – xy' - y = 0. |

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Q: (a). If 2xy³ +3y cos(xy)+(cx²y² +3x cos(xy))y'=0 is an exact equation, determine the value of c.…

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Q: 1. The standard form of the general first order linear differential equation in y is 2. The linear…

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Q: 2. Solve the differential equation: (y² + xy°)dx + (5y² – xy+ y° sin y)dy = 0 by finding an…

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Q: 3. Show that the differential equation (1 – 2y + x In a)dx + (e2v – 2x)dy = 0 is exact and find its…

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Q: 8. Consider the homogeneous linear equation: 2.a²y" + 3xy' – y = 0, x > 0. (a) Explain why y = e" is…

A: Note: Since these are independent subparts, according to our policy we are only allowed to solve…

Q: 1 xdy – y(1+ y cos 2x)dx = 0 ;y(0): Ans: 2x + y sin 2x = 0 2

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Q: Find a particular solution yp of the nonhomogenous differential equation y(3) + y' = x sinx + x²e* +…

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Q: 5. The differential equation (3x'e' - 2xx+ (r'e' -sin y ldy = 0 is exact because ON

A: Partial differentiation is needed to be done after identifying M and N

Q: If Yi - 2cosinx and ya-2 sin lnx are two solutions of a second linear differential equation. Then…

A: We use the definition of the Wronskian to answer the given question.

Q: find solution using direct integral method for the partial differential equation below: 137 1 12 xz…

A: Here we use basic integral formula to find these

Q: 2. Find the differential equations by eliminating the arbitrary constants of a) y = C₁x + 2² b) y ex…

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Q: Find the integrating factor of the non-exact differential equation : (3x²y+6xy+y³) dx+3(x²+y²) dy=0

A: Given a differential equation, 3x2y+6xy+y3dx+3x2+y2dy=0. To find the integrating factor of the given…

Q: 9. Use separation of variables to find the general solution of the differential equation. dy = sinx…

A: option b is correct . see 2nd step.

Q: 4) In the differential equation of, y(x³ – y)dx – x(x³ + y)dy = 0 - where a and ß are constants,…

A: Explanation of the solution is given below....

Q: - ydx + (x ++ Vxy )dy= 0

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Q: y(4) – 16y" = e¯* + sin3x y

A: find complementary function and particular integral and add them

Q: 2.Form the differential equation from the family of curves y² = Ae³* + Be* , where A and B are…

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Q: 3. Solve the Euler-Cauchy differential equation d' y dy - 3x+4y=ln² x – In x dx dx?

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Q: 1. Find a homogeneous linear differential equation with constant coefficients whose general solution…

A: y=c1cosx+c2sinx+c3cos2x+c4sin2x For c1 and c2 α=0, β=1 α±βi0±1i0±i m-im+i=0m2+i2=0m2-1=0

Q: 44. The integrating factor of the differential equation x dy + y dx x^2 dx is_. 1 O e^-2x O e^-2y…

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Q: What is the integrating factor of the differential equation (5xy + 4y² + 1) dx + (x² + 2xy) dy = 0?…

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Q: show that there exists a unique solution to the differential equation y'=ln(xy); y(2)=1

A: Unique solution to differential equation

Q: . Given the differential equation: y" = cos(5x). Determine its general solution. A. 125y = -cos(5x)+…

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Q: 6, find the general solution of the given differential equation: y" - 5y + 4y = 2et (

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Q: 43. The integrating factor of the differential equation (2xy - y^2+y) dx + (3x^2 - 4xy + 3x) = 0 is…

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Q: 1. Find a homogeneous linear differential equation with constant coefficients whose general solution…

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: 2(a) Form the partial differential equation from z = ar + by + ab by eliminating the constants a and…

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Q: 3. The Bernoulli's form of the differential equation x³ydx+(3x¹-y³dy=0 is

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Q: 8 Find the general solution of the differential equation: xy' + y: X Use lower case c for constant…

A: Given : xy'+y=8x+9x Following formulas are used- ∫1xdx=lnx∫xndx=xn+1  n+1

Q: 6. Find the integrating factor, I of the linear differential equation dy dx A. -x²y B. C. D. e-x²…

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Q: What is the simplest form of the integrating factor for the differential equation y' +…

A: Given: The differential equation is y'+2sec xy=cos2x. To find: The correct option for the…

Q: A solution to the partial differential equation. u u is None cos (3x – y) 2² + y? -3 sin (7x) sin…

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Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y = a sin æ +…

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Q: 3. Solve the Euler-Cauchy differential equation d²y dy 3x +4y= ln² x – In x dx² dx

A: Given an Euler-Cauchy differential equation, x2y"-3xy'+4y=ln2x-lnx Re-writing it in the standard…

Q: 5. In the differential equation (1+3xsin y dx– x² cos ydy = 0, we let the substitution %3D

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Q: Find the general solution of the higher order linear ordinary differential equation: y"' + 2y" + 4'…

A: We have to find general solution of given differential equation.

Q: 10. Find the general solution to a sixth-order linear homogeneous differential equation for y(x)…

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Q: (20) Determine the complete solution of the differential equation y" + 4y = 2cos2x subject to…

A: Solution: The objective is to find the general solution of the given differential equation