(dy}{dx}-\frac{2y)/x =x^2sin(3x)

解答

\frac{d y}{d x} - \frac{2 y}{x} = x^{2} sin (3 x)

y = - \frac{1}{3} cos (3 x) x^{2} + c_{1} x^{2}

求解步骤

\frac{d y}{d x} - \frac{2 y}{x} = x^{2} sin (3 x)

求解线性方程:

y = - \frac{1}{3} cos (3 x) x^{2} + c_{1} x^{2}

y = - \frac{1}{3} cos (3 x) x^{2} + c_{1} x^{2}

\int \frac{cos ( 4 x )}{1 + sin ^{2} ( 4 x )} d x

\int_{0}^{10} 1

\frac{d}{d x} (- \frac{x}{4 - x ^{2}})

d er i v a t i v e w (z) = 3 z^{7} - 7 z^{3} + 21 z^{2}

\int \frac{1 - 2 x}{1 - 4 x ^{2}} d x