Apply Euler's method twice to approximate the solution to the initial value problem on the interval 01/1/71₁ first with step size h = 0.25, then with step size h = 0.1. Compare 1 the three-decimal-place values of the two approximations at x = with the value of y (1) 2 the actual solution. -x³ y' = - 3x²y, y(0) = 3, y(x) = 3e¯

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A: Step 1: Step 2: Step 3: Step 4:

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A: Solution:

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A:

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Q: 3. Solve each equation. y(0) = 1, y' (0) = -1 (a) y" + 4y = 0, (b) y" + 5y = 0

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Q: (2.) Find the general solution to y' + 2ty = 5t.

A:

Q: 5. Solve the (Riccati) equation in terms of the Airy functions. y' = x - y²

A: Answer :-

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Q: 1. Solve the IVP. (xy2 + 3y2)dy-2xdx = 0 y(-4)=-3/18 2. Solve the IVP. y" +2y+2y=8(t- -플) y(0) = 3,…

A: 1. 2. 3. 4. 5. 6. 7. 8. 9.

Q: With y(5) = 0, solve y′ = e−y(2x − 4)(show all steps)

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Q: Find the solution of with y(0) = 7 and y'(0) = 6. y" + y − 2y = 54 et

A: