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Beliebt Rechnen >

y^{''}-2y^'+y=te^t

Lösung

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

Lösung

y = c_{1} e^{t} + c_{2} t e^{t} + \frac{e ^{t} t ^{3}}{6}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{t} + c_{2} t e^{t} + \frac{e ^{t} t ^{3}}{6}

y = c_{1} e^{t} + c_{2} t e^{t} + \frac{e ^{t} t ^{3}}{6}

Graph

Beliebte Beispiele

integral of x/(\sqrt[3]{x-8)}

\int \frac{x}{3 x - 8} d x

derivative of e^{0.1x^2}

\frac{d}{d x} (e^{0.1 x^{2}})

derivative of e^x-x^2+3x-2

\frac{d}{d x} (e^{x} - x^{2} + 3 x - 2)

integral from-2 to 3 of (17)/(x^4)

\int_{- 2}^{3} \frac{17}{x ^{4}} d x

y^{^{''}} = 2 y^{^{'}} + 8 y