What is the general solution of xy(xy³– 1)dx + x²(1+xy)dy=0? A 2x°y³ - 3x2 = Cx? 2x³y5 -3x2 = c © 2x³y5- 3x² = cy? 4x³y" +3x? = Cy D

Q: Find the general solution of d²y dy 4- + 4y = 0 - %3D dx?

A: The given differential equation is d2ydx2-4dydx+4y=0.

Q: Obtain the solution using Integrating Factors Found by Formulas 1. 2(2y² + 5xy - 2y + 4)dx + x(2x +…

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

Q: y"-uy'+5y= e Sin() %3D

A: We have to solve given problem:

Q: What is the general solution of xy(xy5-1)dx + x²(1+xy5)dy=0 ?

A:

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 general solution to dy/dx= 6-x^2/2y^3

A:

Q: 10.Obtain the general solution of y(8x – 9y)dx + 2x(x – 3y)dy = 0

A: First we find tha integrating factor of given differential eq then we get exact differential eq.So,…

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: 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: 4. Find the General and Particular solution of dy -8 sin 4x ; y = 6 when x = 0 dx dy

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Q: cos2y−3x2y2)dx+(cos2y−2xsin2y−2x3y)dy=0

A: Mdx+Ndy =0 form so  first check it it is exact differential equation or not. If dM/dy=dN/dx. Then it…

Q: 3. Show that the equation (6ry – y*)dx + (4y + 3x² – 3xy²)dy = 0 is exact. Hence solve the equation…

A: Solution:

Q: 3. Obtain the Particular Solution when x = 4 and y = 1 (x+ y - 4)dx – (3x- y – 4)dy = 0

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Q: 2 Find So (3x2 + 4y³) dy dx.

A: Topic:- double integration

Q: Obtain the General Solution (x-1 )dx - (3 x -2y -S) dy = 0 MAM

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Q: 2. Give the general solution of xy'dy = (x³ +y³)dx in explicit form.

A:

Q: What is exact solution for dy/dx =(x2+y2)/(x+y)

A: Given: The given equation is dydx=(x2+y2)x+y

Q: How do I find the general solution of y''- 2y'= e^x * sinx using the method of variation of…

A: y''-2y'=ex sin x Auxiliary Equation: m2-2m=0⇒m1=0, m2=2 Complementary function  :  y=c1+c2e2xthis…

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

A:

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: Solve the problem by using Exact DE 3 1. (2 x³ x y² - 2y + 3) dx − (x² y + 2 x) dy = 0

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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

A:

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

A:

Q: 4. Obtain the general solution of x? y dy dx

A: By Bartleby policy I have to solve only first one as these are all unrelated problems

Q: Find the general solution : (3x + 2y + 4) dx + (3x + 2y - 3) dy = 0

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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: Solve (1+2.x) dy d²y -6(1+2x)- dy -16y = 8(1 + 2x) with y(0) = 0, y'(0) = 2. dx dx?

A: Given differential equation is: (1+2x)2d2ydx2-6(1+2x)dydx+16y=8(1+2x)2 Given differential equation…

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

A:

Q: Solve the differnetial equation: dy/dx=3/x^2-3x^2+2 with the initial conditions (1,8). show work

A: By using variable separable method we can calculate the given differential equation. See attached…

Q: 4) [cos(2y) – 3x²y²]dx + [cos(2y) – 2xsin2y – 2x³y]dy = 0

A: Exact Differential equation

Q: What is the particular solution of (2x -3y) dx + (2y – 3x) dy = 0 when x 0 and y = 1 %3D O 22 + y?…

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Q: 2. Find the general solution of dy d²y dy + 12- dx - 8y = 21e2 - - dx3 dx2

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Q: Find the particular solution of dy - 2y = x³ sin 4x, y(1) = 2. dx %3D -

A: Using method of Linear Differential Equation.

Q: Find an implicit general solution of ( x² + dx + 1+ 4x²y², - y*) dy = 0 %3D 1+4x²y?

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

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Q: 4(3x+ y – 2)dx – (3x + y)dy = 0

A:

Q: Find the solution of dy/dx = (-x^2/y^2) + ( 1 / ( 3y^2 (x^3 + y^3)^2 )

A: Given: dydx=-x2y2+13y2x3+y32

Q: What integrating factor should be used to find the solution of the equation ydx + (xy + x- 3y) dy =…

A: Given that: ydx+(xy+x-3y)dy=0

Q: 9. Find the general solution: (3x²y – sin y)dx + x(x² – cos y)dy = 0

A:

Q: What is the solution of (x2+2xy-4y2)dx - (x2- 8xy - 4y2)dy = 0?

A:

Q: Obtain the general solution of x^2 d2y/dx2 -2xdy/dx+2y=sin(lnx)

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

A: The formula for integration of fractional function is given by: ∫1x=ln|x|. Given: dydx=3y ; y=3 when…

Q: What is the general solution of d^2y/dx^2 -4dy/dx -12y =3e^5x and dy/dx -2y = 4-x?

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Q: Find the particular solution of csc y dx + sec² x dy = 0; y = when x = 2 2

A: Given differential equation is cscy dx+sec2x dy=0. To find the particular solution if y=π2 when…

Q: 2Y – x²y² -2. dy dx

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

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

A: