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Beliebt Rechnen >

y^{''}-4y^'+4y=e^{2x}sin(x)

Lösung

y^{^{''}} - 4 y^{^{'}} + 4 y = e^{2 x} sin (x)

Lösung

y = c_{1} e^{2 x} + c_{2} x e^{2 x} - e^{2 x} sin (x)

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) + 4 y = e^{2 x} sin (x)

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} x e^{2 x} - e^{2 x} sin (x)

y = c_{1} e^{2 x} + c_{2} x e^{2 x} - e^{2 x} sin (x)

Graph

Beliebte Beispiele

y^{''}+2y^'-3y=e^{-3t}

y^{^{''}} + 2 y^{^{'}} - 3 y = e^{- 3 t}

(d^2y)/(dx^2)-a^2y+b=0

\frac{d ^{2} y}{d x ^{2}} - a^{2} y + b = 0

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

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

y^{''}-25y=cos(5x)

y^{^{''}} - 25 y = cos (5 x)

y^{''}+9y=sin(x)+sin(3x)

y^{^{''}} + 9 y = sin (x) + sin (3 x)