2. Find the general solution of d³y dy dy 6- dr3 + 12 dx2 dx 8y = 21e2 -

Q: Find the general solution of dy d²y 6- dx2 + 12- dx fip - 8y = 21e2 dx3

A: General solution

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

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

Q: 5. Solve d²y dy dx² dx +2 + 5y = sin 2x, given that y(0)=3, y'(0)=0.

A:

Q: Find the general solution of x(x + 3)dy = 2dy + √(9- y²)(12x + 9 + 4x²) dx.

A: We will separate variables and then will integrate it to find general solution of given differential…

Q: Find the general solution of the DE (2y – x2) dx + (y+2x) dx=0 А) 2ху + 3 y2 =C 2 (в) 2ху — 3 x3 y2…

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Q: What is the general solution of xy(xy5-1)dx + x²(1+xy5)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 complete solution of dy + dz = 3z'ydz

A:

Q: The general solution of (2x2 + y) dx + (x²y – x) dy = 0 is 4x2 + Dy² -Dy D

A: Given that 2x2+ydx+x2y-xdy=0Solution…

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: What is the general solution to (2xy – 3y) dx + (x² – 3x) dy = 0? А. ху(х — 3) %3Dс В. х (у + 2х)…

A: Given equation, (2xy - 3y ) dx + (x² - 3x ) dy  = 0

Q: 2. Find the general solution to d²y dz² dy + 3y = e* dr

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Q: Find the general solution of using the method of variation of parameters. d²y dy 2- - 42+ 2y = xe 2x…

A: Given,2y"-4y'+2y=xe2xComplementary SolutionAuxiliary Equation is 2m2-4m+2=0⇒m2-2m+1=0⇒m-12=0⇒m= 1 ,…

Q: 5. Find the complete solution of dx + 2x = 2x²y²e*dx y

A: Topic: differential equations

Q: Find the solution of (x² – xy – y²) dx + xydy = 0 -- -

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

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

A: Please see the below picture for detailed solution.

Q: Find the general solution of hp dy + 12- dx² dx 8y = 21e2x | dr3

A: To find the general solution of the given differential equation: d3ydx3−6d2ydx2+12dydx−8y=21e2x

Q: Show that the solution of the equation d3y/dx3 +3αd2y/dx2 +3α2dy/dx+ α^3 y = 0 is y…

A: According to the given information, First it is required to show the solution of given differential…

Q: I. Solve for the General or Particula 1. dy dx = 3x+xy² y+x²y

A:

Q: Find the general solution for (d2y)/(dx2) + 10(dx)/(dy)+25y = 0

A: Given differential equation is y"+10y'+25y=0 This is second order homogeneous differential equation.…

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: Find the complete solution of the following. dy =  ( 2x3 + 4x ) dx         ;         x = 1 when y =…

A: From the given differential equation: dy=2x3+4xdx Now integrate on the both sides. ∫dy=∫2x3+4xdx So,…

Q: (1) Find the general solution for (+) dx + (--) dy = 0 %3D

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

A:

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

A:

Q: what is the general solution of d^3x/dt^3 - 19 dx/dt + 30=0

A:

Q: find general Solution of DE. 4xg dx +x'dy +3y°dx +2xydyexd

A: The objective is to find the general solution of differential equation 4xydx+x2dy+3y2dx+2xydy-xdx=0

Q: I. Find the general solution of the following: 2 dy = -2x + 3x -2x = 3e dx (x²+5)dx- (2y - 1)dy = 0…

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Q: Find the particular solution of  y(y^2 + x^2)dx + x(3x^2 − 5y^2)dy = 0 ; when x = 2 , y = 1

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Q: 2. Find the general solution of d²y dy +5 dx² dx -6y= = : 0

A:

Q: dy/dx = 2x3,    y(0) = 3 y =

A: Given Data:   Solve the differential equation,

Q: Show that the solution of the equation d3y/dx3+3αd2y/dx2+3α2dy/dx+α3y = 0 is y = (Ax2+Bx+C)e−αx.…

A: Explanation of the solution is given below...

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: 3. Obtain the general solution of: (x – y)(4x + y) dx + x(5x – y) dy = 0

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

A:

Q: Find the general solution of d³y d²y dy + 4 + 10y = –24e* dx +9- dx3 dx²

A:

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

A:

Q: - If y = u – 4u and u = = 3x + r, then dy с. dr 1 dy а. dx 12x3 + 1 12x3 + 1 3u? 4 dy (3u² – 4)(12r³…

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Q: Obtain the general solution to the equation. dy 4. x+ 2y = x-3 dx

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Q: 5- The general solution of the following equation dy d²x 10+ 25y= 0 is dx

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

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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 general solution for d²y_2dy +3y = x² 2 dr2 dx

A: We have to solve given differential equation:

Q: d²y dx² +6 dy dx +9y = 0

A: The given differential equation is;  d2y/dx2 + 6dy/dx +9y=0

Q: 5) SOLVE dy _ yz %3D x2

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

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

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Q: Obtain a particular solution for + + +y = x³ + 2x + 1 dºy, d²y dx4 dx²

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