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Beliebt Rechnen >

y^{''}-3y^'+2y=4e^{2t}

Lösung

y^{^{''}} - 3 y^{^{'}} + 2 y = 4 e^{2 t}

Lösung

y = c_{1} e^{2 t} + c_{2} e^{t} + 4 t e^{2 t}

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) + 2 y = 4 e^{2 t}

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{t} + 4 t e^{2 t}

y = c_{1} e^{2 t} + c_{2} e^{t} + 4 t e^{2 t}

Graph

Beliebte Beispiele

derivative of sqrt(-3x+7)

\frac{d}{d x} (- 3 x + 7)

(\partial)/(\partial x)(3e^{xy+4})

\frac{\partial}{\partial x} (3 e^{x y + 4})

(dy)/(dx)=xy+5x+2y+10

\frac{d y}{d x} = x y + 5 x + 2 y + 10

laplacetransform 13sin(2t)

l a pl a ce t r an s f or m 13 sin (2 t)

integral of ((10)/(1-sin^2(x)))

\int (\frac{10}{1 - sin ^{2} ( x )}) d x