1. (5x + 4y) dx + (4x – 8y³) dy = -

Q: Q4)/ Solve the Following: d²y dy 4x - 6y = x³ + 1 dx² dx

A: See the attachment

Q: 1/ Solve the equation: (3x²+2xy") dx + (2x²y) dy = 0, where y(2) = -3

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Q: dy Solve for the value of C in the equation: (1-2x)dx when y(0) - 1 3y3 3

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Q: Obtain the general solution to the equation. dy (x² + 25) + xy = 2x, y(0) = 3 dx The general…

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Q: 2) Determine the constant A such that the equation (x² + 12ry) dx – (Ar² + 8y) dy = 0 is exact and…

A: The differential equation P(x,y)dx+ Q(x,y)dy =0 is an exact equation if and only if…

Q: 9. (x +y) dx – (y – x) dy = 0; y (1) =1 %3D

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Q: Obtain the general solution to the equation. dy (x2 + 18) + xy - 6x = 0 dx The general solution is…

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Q: How can we solve this separable equation? N(y) * dy/dx = M(x)

A: The given differential equation is, Where, N(y) and M(x) are the functions of the variable y alone…

Q: Use any appropriate method to find the general solution of each of the following equations. dy - y²…

A: Given differential equation is, x2dydx-y2=yx+x2

Q: Q2: solve the equation 3 dx 2х * dy y

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Q: (x +2y-4) dx + (ax-4y ) ay Solve by Coerlaents linear in two variable

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Q: Use appropriate substitution to reduce the following equation to a variable separable and then dy 3x…

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Q: Q6) Solve the following DE: dy -5y 0 dx

A: Given : dydx-5y= 0 Now, 1ydydx = 5

Q: Q2) Solve the D.E dy - (2x/1-y2)dx 0 %3D

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Q: Q1:- Solve the following DEs:- (-4y + e-3*)dx = 4 dy

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Q: C. Solve the following equations by finding equation. an integrating factor to simplify the 1.…

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Q: E Classify and Solve dy + (1 – 2x)y = 4x ,x >0 dx

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Q: d?y dy - 3- dx Determine the solution of x dx2

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Q: dy 4у dx х (у-3)

A: Given query is to find the soly of the differential equation.

Q: Use appropriate substitution to reduce the following equation to a variable separable and then Зх +…

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Q: Find the solution. 1. ху3dх + (у + 1)e-*dy — 0

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Q: Solve the equation: (x-2y) dx + 2(y-x) dy = 0 Answers should be within these givens. x2 – xy + 4y2…

A: Let's find.

Q: Choose a non-exact equation and solve. (xy- 2y²)dx - (x² – 3xy)dy=D0 1.

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Q: dx -dy = 0 4. Solve

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Q: Obtain the general solution to the equation. dx + 4x = 2y7 dy The general solution is x(y)=,…

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Q: Solve the equation 3(y+1)dx-(x+y+3)dy=0

A: Variable separable form of differential equation: dydx=f(x)g(y) Apply variable separable to given…

Q: (y? – 2xy + 6x)dx – (x² – 2xy + 2)dy = 0 - - -

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Q: Q: Classify and Solve dy + (1- 2x)y 4x ,x >0 dx

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Q: (8x² y² -2x + 4xy² - x) dx + (2xy + x + 2y + 1) dy = 0

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Q: dy %3| 6x5-2x+1 dx cos y+ey

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Q: 2. Solve: x dy + y dx = 5x^2 y^3 dy*

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Q: Solve the general solution of the given DE:(2r+y)dx-xdy=D0*

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Q: (b) Consider the IVP, test whether it is exact and solve it. x(x – y)dy = -(3xy – y²)dx y(-1) = 1

A: Given differential equation x(x-y)dy= -(3xy-y2)dx   To test exact or not ,if it is exact then solve…

Q: Solve the equation dy + 4xy dx = 2x dx Answer should be within the givens: ye2x^2 = ½ e2x^2 + C…

A: We have to find the general solution of the differential equation dy + 4xy dx = 2x dx.

Q: Q/ Solve the differential equeion tx²y)dy=2xydx

A: The Given differential equation is: (x2-y2)dy = 2xy dx Rearranging the differential equation:…

Q: y? when y dy and x = 1. Find the particular solution to dz

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Q: 4. Solve dx - dy = 0 xy-1 xay

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Q: xy dx + e* dy = 0 er?

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Q: Solve the initial value problem. d?y = 6-30x, y'(0) = 8, and y(0) = 4 dx? %3D y(x) = |

A: According to question,Given differential equation,d2ydx2 = 6-30x,y'0 = 8y0 =4

Q: #3 Test the exactness and solve the equation. (2xy 3x²)dx + (x² + y)dy = 0

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Q: Q1. Find a general solution of the following equation: 2x(dx + dy) + y(dy – 5dx) = 0

A: Here we have,  2x(dx+dy)+y(dy-5dx)=0

Q: 3- Solution of the following equation * dy 2 d?x = 2(3+ x2 - xy)/x³ dx

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Q: Choose a non-exact equation and solve. (xy- 2y?)dx - (x2 –- 3xy)dy=0 1.

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Q: (c) Test for exactness and solve the IVP, critically outline the particular solution (x + 5e*y)dx =…

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Q: Solve the IVP: - 8x + 7y – 7x + 2y dy where y(2) = 9 dx Solve your solution equation explicitly for…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  here we have

Q: 3. Choose one of the following first-order equations to solve. dy (x² + 1): + 3x(y – 1) = 0 dx а. %D

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Q: dy To solve a first order linear equation + P(x)y=Q(x), one can multiply both sides by dx dy 1 an…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: Solve the general solution dy =1+x+y? +x²y? dx

A: A differential equation is an equation in x,y and derivatives of y. A separable differential…

Q: X CSC -y|dx + xdy=0. Obtain the general solution of

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Q: (8y – 2²y) +x – xy² = 0 dy +x – xy = 0 dx

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