Solve the following DE: 3x³y = 2y(y- 3) Oy-3= Cye-1/x² O 2y-1= Cye/x Oy+3= Cyel/x² O 2y-1= Cye-1/x²

Q: Solve the following D-E 1) xy" – y2 – 2y' = 0

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

Q: Find the particular solution for y' = x3 – 2xy when x = 0, y = 1

A: We are given a differential equation: dydx=x3-2xywith the initial cobdition x=0, y=1 We can solve…

Q: SL, x(x² + y²) 2/3 dydx

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Q: solve the following diffrential c) x²(y+1)dx+(x²-1)(y-1)dy=0

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Q: Find d2y/dx2 implicitly in terms of x and y.

A: Implicit differentiation involves the treatment of one of the variables as a function of another and…

Q: Solve : t -4t y"+2y - Sydt e s(t-3) yco) = 0 y'co) = 0 %3D

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Q: Find the particular solution of xy" + xy' 13; y = 0 and y' = 1/2, when x = 1.

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Q: Find Hhe (imet 3. 3. im +y²+xy

A: Explanation of the answer is as follows

Q: Consider the following IVP: y"-3y'+2y = e*; y(0) = 0, y'(0) = 0 Find the general solution.

A: We solve the given DE  y"-3y'+2y=e3t.......(1) y(0)=y'(0)=0......(2)

Q: (c) xy' = y(3– x)

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Q: Solve the following DE's a) y" +y = 0 c) y"-4y' + 49y = 0 y(0) = 0, y' (0) = 5 b) y"" – 2y" + 4y' –…

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Q: 2x Aegl ää Jas y(0.1) d y(0)=1 , h=0.05 y' = y - y

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Q: Find the general solution for each of the following DEs i) y"'" + 4y" – 5y = 0

A: Given

Q: 1. 3(3x² + y²)dx – 2xydy = 0 -

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Q: (2x+1)y' =e", with y(0)=0.

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Q: Please solve the following higher order homogenous DE: a. y'' + 4y + 3y =0 b. y'' - 6y + 9y =0…

A: a. Consider the given differential equation, y''+4y'+3y=0 so the auxiliary equation is, D2+4D+3=0…

Q: y"'-3y"+2y'=t+et

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Q: Solve for x and y. X = y = 17 1 5x + 20 5 [723]-[2725231 2y 1

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Q: Ex: FIND A COMPLETE SOLUTION OF EQ. y" + 3y" + 3y' + y = 0

A: The given differential equation is y'''+3y''+3y'+y=0. Find the complete solution of the differential…

Q: Find the solution of y" – by' + 9y = 16 et with y(0) = 2 and y' (0) = 1.

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Q: dy 15 +4y-042

A: ∫115+4y-4y2dy

Q: د؟ لر ول 3 y3 Xe dydx

A: We have to integrate the function fx, y=x3ey3 within the given limits of integration but the…

Q: Evaluate -5у-5 dy 31. Jv+2y-4

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Q: Q16// find the general solution (cosx)y²dx + 2ysinx dy = 0

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Q: Solve the following equation for c: 1 2-c-z 2-²-y 1 dz dy da 10

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Q: A.) solve for x and y : ( x+ jy)2 =(2+j4)

A: Given: x+jy2=2+j4 To Find: To solve the given equation for x and y

Q: Solve for PS: y"+7y'-8y=0;x=0,y=0,y'=1 O y=9e^-t-9e^-4t O y=1/3e^-t-1/3e^8t Oy=3e^t-3e^2t O…

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Q: Solve: -4t Jydt=e s(t -3) %3D yro) =0 , y'c0=0 y'co) = 0 %3D

A: I have find CF and PI for the given equation

Q: The equation y3 = 3Bx is the general solution of 3y Oy Oy 3xy Ou' = 3y

A: We will form the differential equation using given solution

Q: Solve for the particular solution: dy + 를y3D -2°y"; y(-1) %3D2 dz

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Q: EX. Evaluate the JJ(X*+2xy+y") dydx when step size of x = 0-2 and step Size of y=o.5?

A: Given: ∫01∫02x2+2xy+y2dydx with a step size of x=0.2 and y=0.5.

Q: Find the general solution to the 2nd order ODE: y" + 4y' + 4y = √xe -2x

A: To find the general solution to the given 2nd order ODE.y''+4y'+4y=xe-2x

Q: Evaluate [ T 1-x² x² + y² dydx.

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Q: Question included in image

A: Given that,

Q: Find the General Solution dy dr = y? – 3y²cos (x) 1.

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

Q: Find the general solution of (2x – y) dy = 2y – x - da

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Q: Find the general solution of 2y"+3y+y=3sin.x+xe"

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Q: V9-r² S xydzdydx •3 (d) S So

A: We have to find value of given triple integration

Q: Solve the follawing D ·E. 2. y²dx + (3xy +y²-1) dy =0

A: Please refer the attached image for complete solution.

Q: Find a particular solution to y" + 16y = 24 sec(4t). Yp |

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Q: 3 2x y°e*dydx

A: To Evaluate the integral given below:-I=∫02∫04[y3e2x]dy dx-(i)Computing the definite…

Q: Solve xy'(x) + (x+ 1)y(x) = 3xe¯ O a. y(x) = 3xe 2 + Ce O b. y(x) = - 3 + ce 2 Oc. O C. y(x) =…

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Q: COs 2 dydx (4) LL. r1 1 dydx x4 + y²

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Q: Solve for the DE of: y = C₁+C₂e7x O y'-+7y=0 Oy" - 7y¹ = 0 Oy'-7y=0 Oy" + 7y¹ = 0

A: The given equation is;  y=C1+C2e7x.

Q: Solve the nonhomogeneous ODE. y" – 10y' + 25y = x2ex -

A: Given equation is: y''-10y'+25y=x2e7x The auxilary equation is: D2-10D+25=0(D-5)2=0 D=5,5 SO…

Q: 41 82x-x2 9V x²+y? dydx =

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Q: Use the substitution z = y^2+ t −1 to solve 2yy′= y^2+ t −1

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Q: Q1:- Solve the following DEs:- 1) (1+ x²)dy – y²dx = 0 2) y' = x csc y sin x 3) y' = xe4x² –4y

A: We have to solve the following differential equations. We will use the separation of variables…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.