x*(dy)/(dx)-y=x^2sin(x)

Lösung

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

y = - cos (x) x + c_{1} x

Schritte zur Lösung

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

Solve linear ODE:

y = - cos (x) x + c_{1} x

y = - cos (x) x + c_{1} x

\int y - 1 d y

in v erse l a pl a ce \frac{3}{( s + 2 ) ^{2} + 9}

\int_{0}^{π} sin^{5} (\frac{x}{2}) d x

t \to π lim (sin (\frac{t}{6}))

\frac{d y}{d x} = 2 y 16 - x^{2}, y (0) = 1