Q: The particular solution of y(x+y)dx + (x +2y- 1)dy=0; y(0) = 2 by NEDE is

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Q: Vx 3 1- evNīdy dx - 3 y3 e*y dx dy

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Q: Find the general solution of 2 (y + 1) – (x + 1)/y + 1]dx + (x + 1)dy = 0.

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Q: Find the general solution of (x+2y– 4)dx-(2x+5-y)dy=0

A: The given differential equation is of Reducible Homogeneous form . We solve it using following way .

Q: Find the solution to the initial-value problem. dy = y³xe*, y(0) = 1 dx II

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Q: Obtain the general solution of: y(x°ey- y)dx + x(y + x°e*Y)dy = 0

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Q: Find the general solution to dy/dx= 6-x^2/2y^3

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Q: Solve the initial value problem x2 dy/dx - 2xy=3y4, y(1)=1/2.

A: Solve the initial value problem x2 dy/dx - 2xy=3y4, y(1)=1/2.

Q: Find the general solution of the first-order equation dy/dx=(y^(2) − 2xy)/x^2

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Q: Find the particular solution of dy/dx=6e^3x+1,andf(0)=0.

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Q: Find the general solution of

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Q: I. Find the general solution of the following: 1. dy - 2x²¹ dx y 2. dx = xy dx 3. dy = (6e³x + 1)dx…

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Q: Solve for the general solution of (ylny-e^-(xy))dx+(1/y+xlny)dy=0

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Q: ) Obtain the particular solution of (2x-3y+4)dx+3(x–1)dy =0; when x =-1, y = 2 O Find the general…

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Q: Find the general solution of dx -3 y=2cos3x . dx

A: The given differential equation is. d2ydx2+2dydx-3y =2cos3x This can be written as, D2+2D-3y=2cos3x…

Q: Determine the general solution of (xy^2+x)dx+(x^2 y-y)dy=0

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Q: The solution to (2x – 4y – 3)dy = (x- 2y)dx is:

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Q: Find the general solution of dy xy = 1+ y?

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Q: Solve the particular solution of 3y(x^2 - 1)dx +(x^3 + 8y - 3x)dy = 0; when x = 0, y = 1

A: The given differential equation is 3yx2-1dx+x3+8y-3xdy=0. The initial condition is x=0 when y=1. The…

Q: Find the particular solution to DE:  ( xy^2 - x ) dx - ( 2x^2y - 3y ) dy = 0 ; y ( 1 ) = 2

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Q: Find the solution of the initial value problem dy/dx=27e^6x_3y ,y(0)=0

A: This is a problem related to differential equation. Based on the integrating factor formula we will…

Q: 2. Find the general solution of d²y dy +5- dr.² dx 6y=0

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Q: Obtain the general solution to the equation. (dy/dx)-y-e^3x=0

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Q: Solve the initial-value problem d²y 4- - 4 - 3y = 0, y(0) = 1, y'(0) = 5. dx2 dy dx

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Q: Solve the particular solution of (xª + y³)dx – 2x° dy= 0 when x = 2, y = 3. -

A: We can rewrite the given equation as,  (xy+y3)dx = 2x3dy xydx+y3dx = 2x3dy

Q: Find the solution of the initial value problem dy 2 - - 4y + 0, y(1) = 2 dx

A: Given differential equation is −xdydx−4y+2x2=0......1 and y1=2. We have to find the solution of the…

Q: Determine the general solution of (x-2y)dx + (2x+y)dy = 0

A: See the details solution in below

Q: dx xy+3x-y-3 dy xy-2x+4y-8

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Q: Find the particular solution of (dy/dx) = (5x3 + x2 - 2); y = 1 when x = 0

A: Given: dydx=5x3+x2-2; y=1 when x=0

Q: The general solution of (y-1)dx −2(x+y+1)dy=0 by CL2V is

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Q: Find the general solution by means of separation of variables if: dy = xy -x dx

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Q: 9. Find the General and Particular solution of = 4y ; y= 3,when x dx

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Q: Find the general solution of the DE dy/dx = y(x – y) / x^2

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Q: 3. Find the General and Particular solution of = 3y ; y= 3,when x = 0 dx

A: Take integration on both side and then put initial value

Q: Find an explicit solution of the given initial-value problem. x2 dy = y - %3D у — ху, у(-1) %3D -1…

A: Firstly we will solve the given differential equation by using variable separable form then…

Q: Determine the general solution of (x – 2y) dx + (2x + y) dy = 0.

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Q: Find the general solution of 6y2 dx - x (2x3 + y) dy = 0

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Q: Find an explicit solution to the initial value problem dy/dx = 2xy +3y, y(0) = -2

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Q: The solution of (1 – y² )dx + (1 + x² )dy = 0 is:

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Q: Find the general solution of y'dx+(3xy+ y² –1)dy = 0

A: The differential equation is given as , y2dx+3xy+y2-1dy=0 find general solution.

Q: Find the general solution of dy/dx= e^3x+2y

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Q: find the general solution of x(y+1) dx -x 2 dy=0

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Q: Find the general solution of (x+2y– 4)dx-(2x+5-y)dy = 0

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Q: Find the particular solution of (x+ y)dx +(x – y)dy = 0; when x = 1 y = 1.

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Q: 2. Find the particular solution of Vx2 + y2 )dx – x dy = 0 ; y = 1 when x V3. -

A: Given differential equations homogeneous differential equation of first order we will do the…

Q: Find the Particular Solution: y(x - 6y)dx - x(2x - 9y)dy = 0 ; when x=1, y=1

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Q: 2Y – x²y² -2. dy dx

A: The given differential equation is: dydx=2yx-x2y2

Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0.

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Q: The particular solution of y(x+ y)dx + (x+ 2y- 1)dy=0; y(0)= 2 by NEDE is

A: Let's find.

Q: The solution of (1 – y² )dx + (1 + x² )dy = 0 is: %3D

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