Consider the following initial-value problem. (y? cos(x) – 3x?y – 8x) dx + (2y sin(x) – x³ + In(y)) dy = 0, y(0) = e af Let y2 cos(x) – 3x?y – 8x. Integrate this partial derivative with respect to x, letting h(y) be an unknown function in y. ax (x, у) %3D + h(y) Find the derivative of h(y). h'(y) = Solve the given initial-value problem. sin(x)y² + y(1og(y) – 1) =x³y+ 4x? |

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