Find a suitable integrating factor to solve the first the first order linear differential equation dy y x, when y(1) = 2. dx

Q: Find the general solution to the given differential equation. (Use C for the constant of…

A: Consider the given differential equation.

Q: Solve for the general solution of the given ordinary differential equation using determination of…

A: The given diffrential equation,x2+y2+1dx+xx-2ydy=0

Q: (A) Find the integration factor of the non exact differential equation ev (x² + +1]dx + ( +2y dy=0…

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Q: Find the integrating factor of a non-exact differential equation 6xy dx + (4y + 9x²) dy = 0.

A: As per the policy of bartleby, the provisions is to solve only one question at a time. So I am…

Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is

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Q: Find the integrating factor of the non-exact differential equation: dy= (e2x+y-1) dx

A: Given differential equation is dy=e2x+y-1dx which can also be written as e2x+y-1dx-dy=0 Comparing…

Q: The integrating factor for the differential equation (3xy + y)dx + (x2 + xy)dy 0 is - X Y O - Y O

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Q: Consider the autonomous first-order differential equation dy/dx = y – y° and the initial condition…

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Q: Find the solution of the differential equation that satisfies the given inital condition.…

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Q: Find the general solution to the given differential equation. (Use C for the constant of…

A: To determine the general solution of the differential equation.

Q: Find the general solution to the given differential equation. (Use C for the constant of…

A: Given differential equation

Q: Find the values of the constant r so that y = e™* satisfies the differential equation 2y" + y' — у…

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Q: Find the general solution to the given differential equation. (Use C for the constant of…

A: The given differential equation is dydx=x3y. Solve as follows. dydx=x3yydy=x3dx

Q: 3. dy = (x – 3y)dx

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is: ∫Md⏟Take 'y'…

Q: What is the integrating factor to (2y2 + 3xy – 2y +6x) dx + x (x + 2y – 1) dy = 0, to make it an…

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Q: Find the explicit particular solution of the differential equation for the initial value provided.…

A: 1.Explicit relation : y = f(x) , No 'y' on the Right-hand side of the equation.  2. Particular…

Q: 4. What is the integrating factor of the first-order linear differential equation below? (y – 1) sin…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the general solution to the given differential equation. (Use C for the constant of…

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Q: 2ydx + x(2 + x²y) dy = 0

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Q: 7. (xy² – 2y)dx + (3 – 2xy²)dy = 0

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Q: Calculate the particular solution for the differential equation dy dx = y+x²sin(x) with initial…

A: Given that: xdydx=y+x2sinx

Q: (A) Find the integration factor of the non exact differential equation 2y e +2y dy 0 +1 dx +

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Q: Given the differential equation dy +y dx=2xy-e* dx what is the value of the integrating factor?

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Q: Find the general solution to the given differential equation. (Use C for the constant of…

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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: Find the general solution to the given differential equation. ( Use C for the constant of…

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Q: Find the general solution to the given differential equation. (Use C for the constant of…

A: The given differential equation: dx=x9y dy

Q: 6. (3x²y+ 2xy + y³)dx + (x² + y²)dy = 0

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Q: Find the general solution to the given differential equation. (Use C for the constant of…

A: Consider the given differential equation dx=x9ydy

Q: Find the general solution to the given differential equation. ( Use C for the constant of…

A: Since you have not mentioned the derivative in the differential equation ,so we consider the…

Q: Find the general solution to the given differential equation. (Use C for the constant of…

A: The given differential equation is dx=x9y dy. Rewrite this as y dy=dxx9.

Q: dy = (x – 3y)dx

A: The given differential equation is: dy = (x-3y)dx We need to find the integrating factor for the…

Q: Find the general solution to the given differential equation. (Use C for the constant of…

A: Consider the given D.E. Rearrange the D.E.

Q: xydy - (y – 3x²) dx = 0

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Q: Find the general solution to the given differential equation. (Use C for the constant of…

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Q: Find the value of n that makes the differential equation xn (3x+4y)dx +(2xn+1 +2y)dy = 0 exact.…

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Q: Solve the differential equation with the initial condition. Show all of your work. dy y? with y(0) =…

A: Detailed solution is given below.

Q: Find the general solution to the given differential equation. (Use C for the constant of…

A: To get the general solution , put all the y terms together and x terms together

Q: dy +2xy = e-* is The integrating factor of the differential equation

A: By using linear differential equations integrating factory  we can calculate..

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

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Q: Find the solution of differential equation dy/dx = -x/ye^x^2 with the condition that is initial…

A: We have to solve

Q: dy 6 cos(nx) dx

A: Given differential equation is  yy' = 6 cos(πx)

Q: Find the general solution to the given differential equation. (Use C for the constant of…

A: Given a differential equation, dx=x6y dy

Q: y – 2)dx + (3x – y)dy = 0

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Q: Find the general solution to the given differential equation. (Use C for the constant of…

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Q: Use the initial condition to find the particular solution of the differential equation. Differential…

A: In this question, separate y terms in LHS and x terms in RHS and then integrate both sides to get…

Q: Obtain the general solution of the given differential equation up to the form free from ln function.…

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Q: dy dx 2x* + ху ||

A: dydx=y22x2+xy is given equation multiply each variable by λ dydx=(λy)22(λx)2+λx×λy since there is no…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.