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[10] 2. Solve the initial value problem (x² + 3y² + x)y' + 2xy + y...
[10] 2. Solve the initial value problem (x^ + 3y^ + c)2 + 2xy + y = 0, g(1) = 1.
38. Solve the initial value problem x+3y=+*2 + 2xy +T Y() = -2 2xy x2 + 2x2y + 1 Ti y(1) = -2.
2. Integrating factor Solve the given initial value problem. a) (1 + x*)y' + 2xy = f(x), y(0) = 0 f(x) = {-x, x<0 x, x20
Solve the given initial-value problem. (x + y)2 dx + (2xy + x2 – 8) dy = 0, y(1) = 1 (x + y)3 (x + y)2 - 8x = -1
2) Use Laplace Transforms to solve the initial value problem y/ -3y = -10(1-2) with y(0) = 8/9.
(10 pts) Solve the initial value problem by Laplace transform: y" – 4y + 3y = ezt, y(0) = 0, y'(0) = 0.
2. Use the power series method to solve the following initial-value problem: y" + 2xy' + 8y = 0 with y(0) = 3 and y(0) = 0.
0 14 + x2 2. (3 points) Solve the initial value problem xy'–3y = x?, y(i)=
Solve the initial value problem. y'" – 3y" - y' + 3y = 0; y(0)=5, y'0) = -3. y'(0)=5 The solution is y(t) =
Solve the initial value problem y" – 3y' + 2y = e3r, y(0) = 2, y'(0) = -1. (a) y(x) = 40-1 – 4e2+ 2e 32 (b) y(x) = 1 e?' – 4e-2x + £230 (c) y(x) = 40-1 – 4e-2x + 3e3x (d) y(x) = 40" – 4e2x + e3r Select one: a с b d