(dy)/(dx)=y^2e^xsin(3x)

Lösung

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

y = - \frac{10}{- 3 e ^{x} cos ( 3 x ) + e ^{x} sin ( 3 x ) + c _{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{10}{- 3 e ^{x} cos ( 3 x ) + e ^{x} sin ( 3 x ) + c _{1}}

y = - \frac{10}{- 3 e ^{x} cos ( 3 x ) + e ^{x} sin ( 3 x ) + c _{1}}

\int sin (3 t) d t

\int_{0}^{5} x \frac{2}{95} (12 - x) d x

\frac{d}{d x} (\frac{x}{1 + x ^{2}})

t an g e n t y = \frac{8}{x}, (16, \frac{8}{4})

\int_{0}^{1} 5 (1 + x)^{6} d x