d²y 2) Obtain a particular solution for d*y dx+ + + y = x³ + 2x +1 dx2

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

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

Q: The standard form of 3dy – xydx = 3y³e¹x/³ by Bernoulli's equation is: dx A d 2=3e dy ху B D…

A: Solution : Given that

Q: (3y + 2x) dx –x² dy = 0, given that x = 1, when y = 2

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Q: Vx 3 1- evNīdy dx - 3 y3 e*y dx dy

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Q: Solve the particular solution of the given DE: x(r^3-xy^2+2y^3 )dy-y(r^3+2y^3 )dx=D0 @r=1, y=1.

A: We have to solve given problem:

Q: Find the solution to satisfying _y(t) = dy dt = 2y y(6) = 9

A: The given differential equation is; dydt=2y As we know from the integral rule,  ∫1ax+bdx=1alnax+b+C

Q: Find the set of solutions (3x – 3y – 2) dx – (x – y + 1) dy = 0. - - %3D

A: Given differential equation is linear, we will use substitution to solve it

Q: use Separation of Variables to find the general solution. dx/dt= (t + 1)(x2 + 1)

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Q: 1. 2d2y/dx2 - dy/dx + y = 0 2. d2x/dt2 + 4dx/dt + 4x = 0 3. 2d2y/dx2 -3 dy/dx +2y=0

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Q: dx 2х — dt dy – y = 6e3t, dt. dx 2 dt dy 3x + dt - 3y = 6e3t; %3D x(0) = 3, У (0) — 0. %3D

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Obtain the particular solution when x = 1 and y = 1 3 y°) dx 3 - x(x + y) dy = 0

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Q: 2. Identify the 3rd order nonlinear DE. 3 (dy` A. ( +x³y – xy³ = 0 dx. d³y d²y +y dx2 В. = 0 dx3 d³y…

A: Check each options while it is 3rd order as well as nonlinear differential equation.

Q: Find the particular solution for (2y3 – x³) dx + 3xy² dy = 0 when x = 1, y = 1

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Q: 2. Obtain the particular solution A. yy' 2x(y+ 1) B. (x? + 1) dy = (y² + 1) dx

A: Topic :- Differential Equation

Q: Find the solution of dy 2x- +y =x is dx

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Q: dy (=)y = x* sin x. dx

A: Linear differential equation

Q: d²y dy y = e * is a solution of dx2 = 0 dx

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Q: obtain the particular solutions satisfying the indicated conditions: dx/y=(25-x^2)^-1/2dy; y(0)=1

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Q: Compute dy/dx using chain rule where y = (u^2+2u)/(u+1) and u = x(x + 1)

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Q: 5 If y = dy then dx %3D x+1

A: Given that: y=xx+15

Q: d^4y/dx^4=dx/dy+y^4   Is it linear or non linear

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Q: dy 2х dx - y = 6e3t, dt dt dy 3x + dt dx - 3y = 6e3t; | dt x(0) = 3, У (0) 3 0.

A: Given, dxdt-2x-dydt-y=6e3t2dxdt-3x+dydt-3y=6e3t, x0=0, y0=0   We use the Laplace transforms…

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

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Q: If ey 9 dy 3x and y(1) = 2, then the particular solution y(x) is %3D 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: 2e | 3జy S S dy da = Vsin(zy)

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

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

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Q: dy 10y + 3 dx and its integral setup dy 10y + 3

A: Substitution method: - The substitution technique may be a simple approach for resolution linear…

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

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Q: Find the particular solution of 9 d2x d'y dy 122 + 4y = 3x - 1 given that when x=0, y=0 and %3D dx…

A: Thanks for the question :)And your upvote will be really appreciable ;)

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

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Q: Let y(x) be the solution of the IVP dy - (y - 3)'dx = 0, y(0)=2. Evaluate y(13).

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

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Q: 2. Identify the 3rd order nonlinear DE. 3 +x³y – xy³ = 0 \dx) d³y d²y +y dx? В. = 0 dx3 d³y d²y С.…

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Q: (D - 3D% Dy+ 4 Dg )u = e+ Ans. u= 中ーx)+中2+2x)+x中2iy+2x)+ る ×2 +る

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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: dx Зх — 2у — z dt - dy 3x – 4y – 3x dt dz - 2x – 4y dt

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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: H.W: Solve-Using D-operator dy dx + dt + 3y – 5x – e-t = 0 %3D dt dx dy + x + y - 3 = 0 dt dt 2.

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Q: Obtain the general solution. (1+y^2)dx+(x^2y+y)dy=0

A: Gien differential equation 1+y2dx+x2y+ydy=0To solve the differential equation we use variable…

Q: 1. Determine the general solution of (x 3y )dx – x dy = U

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Q: d*y 2) Obtain a particular solution for d²y dy + dx + y = x3 + 2x +1 dx4 dx?

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

A: Given differential equation is not exact , first make them exact and then solved them.I have given…

Q: 26. (a) J. Jo dz dy dx ~2 r2-y (2-x-y (b) dz dx dy -2 p4-y² dx dz dy (c) -2 Jo

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Q: d*y d²y dy Obtain a particular solution for dx4 +у 3D х3 + 2х + 1 + + dx2 dx

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Q: u2-1 Given y = dy and u = Vx2 + 2, find dx %3D u3+1

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Q: find the general solution for: x^2*d^2y/dx^2 + x*dy/dx -y=0

A: SolutionGiven    x2d2ydx2+ xdydx - y = 0Gind the general solution of the given differential equation…

Q: 1. Find the solution of dy xy %3D dx (1+x)(1+y)

A: The given problem is to solve the given ordinary differential equation. Given differential equation…

Q: d*y d²y dy .3 Obtain a particular solution for dx4 + + y = x³ + 2x + 1 dx dx2

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