□ Consider the initial value problem y = 3 + 4 +2, y (0) -3 Fuse Fuller's methool with n = 2 to approximate the solution f(+) at time t = 1 AAAAA Dindex N y'.h AA D AAAA

Q: Q1: Solve the following O.D.E у"- Зу'- 4у%3DЗе + 2 sin x - 8e* cos 2.x.

A: Note: We'll answer the first question since the exact one wasn't specified. Please submit a new…

Q: 3. Solve the following IVP: if 0 4 y'(0) = -1. S2et у" — 25у 3 y(0) = 0, Note: Write your final…

A: Given y''-25y=2etif 0≤t≤40if t>4y0=0, y'0=-1

Q: dx 3. If 8c²xy = (x² - y2)2, find- dy

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 25 12 8. x' = | 6. -18 -5 %3D 6 13

A: First we will find the eigenvalues and eigenvector of the given coefficient matrix then we will form…

Q: kp - x² + 5x²+4x = 12+ + 30e to) = (0) (250)P x(0)=1, x'(0)=3 Solve the above IvP and then find OH…

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Q: dy ху+3x-у-3 7. Ans: y-x+In y+3, %3D = C dx ху-2х+4у-8

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Q: n of (3x²–

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Q: 8. Solve the initial-value problem: xy = y3 – 2°, y(1) = 2 dx

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Q: 2. Find the solution of y(2xy + 1)dx – xdy = 0

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Q: I. Find the general solution of each of the following. 1. xy²dx - edy 2. tanxdx+ycos’ xdy−0 3. ytan²…

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Q: 1. Solve for P given P' = 6t√P √² +3 with P(1) = 25.

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Q: ·+w +z = 4 denklem sisteminin çözümünde z(x) =? dz - 4z = 5e* dx dx +

A: The differential equation is given as dzdx+w+z = 4…

Q: Q5. Solve the following initial value problem. (D³ + -2D²-9D + 181)y = e²2 y (0) = 4.5 y'(0) = 8.8…

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Q: 15. Obtain general solution of y' = y + y³. a. y² = 1 + ce²x b. y2-1/2 + ce²x c. y2=1+ ce-2x d.…

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Q: 4. Solve for the general solution of --y = x²y? a. y-1 = Ce* - 12e* b. y-1 = Cex - 10e2x c. y-1 =…

A: Given that, The differential equation is following, dydx-2xy=x2y2 We have to find the general…

Q: dy If x³+y³ = 1, what is -? dx² D OC O 22(23 ys 2x(2 − y) y³ 2x y5

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Q: bläi 6 Q/ By using substitution z=x+y to make the D.E. dy/dx=(x+y)^2 separable :equation, the…

A: The given equation is; dy/dx = (x+y)2 and substitute x+y = z.

Q: Q-1:B: Solve the initial value problem d?y + 4y = 8x2 ,y(0) = -3,y'(0) = 0 %3D %3D dx2

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Q: f(x)=S0pi/2(8+4cos(x))dx Solve using multiple-application trapezoid rule, with n= 2 and 4.

A: I find the solution in 6 decimal place

Q: f(3x² − 4x+6) dx ; y = 10 if x = 1. Solve for the constant of integration. Given

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

Q: The solution of the following IVP:y' = y³ x ex´ , v(0) = 1

A: The given differential equation is variable separable differential equation of first order. First we…

Q: Q22// find the general solution x³ + 2y³ + x²y x3 + 2xy² dx

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Q: (4x*y³ + }) dx + (3x*y² –-;) dy = 0 for x(e) = 1 %3D

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Q: dy 21 +y = xy". Solve: dx Ay20 = x + 1+0 1 + Ce" 20x 20 -20 O B.Y ** = x + + Ce21x 20 1 Oc.y20 +Ce…

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Q: 3 5. [20 points] Solve (x + y)dx+ dy=0 +x-

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Q: If y(x) is a solution of y"-2xy' +14y = 0, find the value of y'(1).

A: The given differential equation is y''-2xy'+14y=0. We have to find out the value of y'(1).