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Beliebt Rechnen >

y^{''}-2y^'+y=te^t,y(0)=1,y^'(0)=1

Lösung

y^{^{''}} - 2 y^{^{'}} + y = t e^{t}, y (0) = 1, y^{^{'}} (0) = 1

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of (20)/x

\int \frac{20}{x} d x

limit as x approaches 0 of 5+2e^{(-5)/x}

x \to 0 lim (5 + 2 e^{\frac{- 5}{x}})

integral of cos^2(wx)

\int cos^{2} (w x) d x

tangent f(x)=3sec(x),\at x= pi/6

t an g e n t f (x) = 3 sec (x), at x = \frac{π}{6}

integral of 1/(7x-1)

\int \frac{1}{7 x - 1} d x