Solve dy/dx = yx²-1.2y with the initial condition y(0) = 1 over the interval [0, 2] using Heun's method. Use h = 0.5. Iterate the corrector to e§ = 1. Its analytical solution is y(x) = ex³/3-1.2x

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A: Solution: The objective is to find the general solution of the given differential equation

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A: Let's find.

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A: First solve the given differential equation: Given : y'=y-xy'-y=-x The given differential equation…

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Q: 4. Using homogenous D.E approach, solve (x³ – 3xy?)dx = (y3 – 3x²y)dy.

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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

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Q: Q3- Solve only one of the following: A- Find the approximate solution for the function y' x + y…

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Q: Solve (t2+4) d = (x2+36), using separation of variables, given the inital condition (0) = 6. x=6 tan…

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Q: Q4: Solve the D.E x²y" - 2xy' + 2y = x²

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Q: (1 + t2)(dy/dt) + t · y = (1 + t2)5/2. Find general solution. SHOW ALL STEPS PLEASE. I DON'T KNOW…

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Q: (P-rule) 9. y=XN2X+ | %3D rewrite y

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Q: ind the general solution x'y"-3x'y"+6xy-6y= 2x as assume x > 0

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Q: у 7. y' +²√y = 0, y(1) = 0 - x

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