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Beliebt Rechnen >

y^{''}-3y^'=2e^{2x}sin(x)

Lösung

y^{^{''}} - 3 y^{^{'}} = 2 e^{2 x} sin (x)

Lösung

y = c_{1} e^{3 x} + c_{2} - \frac{3}{5} e^{2 x} sin (x) - \frac{1}{5} e^{2 x} cos (x)

Schritte zur Lösung

y^{''} (x) - 3 y^{'} (x) = 2 e^{2 x} sin (x)

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} - \frac{3}{5} e^{2 x} sin (x) - \frac{1}{5} e^{2 x} cos (x)

y = c_{1} e^{3 x} + c_{2} - \frac{3}{5} e^{2 x} sin (x) - \frac{1}{5} e^{2 x} cos (x)

Graph

Beliebte Beispiele

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

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

x^{''}+4x=32sin(4t)

x^{^{''}} + 4 x = 32 sin (4 t)

(D^2-2D-1)y=e^xcos(x)

(D^{2} - 2 D - 1) y = e^{x} cos (x)

y^{''}+2y^'+5y=e^{-x}

y^{^{''}} + 2 y^{^{'}} + 5 y = e^{- x}

y^{''}+y=(sec(x))^3

y^{^{''}} + y = (sec (x))^{3}