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Beliebt Rechnen >

y^{''}-8y^'+15y=-sin(2t)

Lösung

y^{^{''}} - 8 y^{^{'}} + 15 y = - sin (2 t)

Lösung

y = c_{1} e^{5 t} + c_{2} e^{3 t} - \frac{11}{377} sin (2 t) - \frac{16}{377} cos (2 t)

Schritte zur Lösung

y^{''} (t) - 8 y^{'} (t) + 15 y = - sin (2 t)

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} e^{3 t} - \frac{11}{377} sin (2 t) - \frac{16}{377} cos (2 t)

y = c_{1} e^{5 t} + c_{2} e^{3 t} - \frac{11}{377} sin (2 t) - \frac{16}{377} cos (2 t)

Graph

Beliebte Beispiele

y^{''}-2y^'+26y=e^xsin(x)

y^{^{''}} - 2 y^{^{'}} + 26 y = e^{x} sin (x)

(\partial)/(\partial x)(e^{2x+8y})

\frac{\partial}{\partial x} (e^{2 x + 8 y})

tangent 8sqrt(x)

t an g e n t 8 x

(\partial)/(\partial x)(2y^3)

\frac{\partial}{\partial x} (2 y^{3})

derivative (5x-3)^4(2x-7)^{-3}

d er i v a t i v e (5 x - 3)^{4} (2 x - 7)^{- 3}