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Beliebt Rechnen >

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

Lösung

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

Lösung

y = - 3 e^{t} + 2 e^{t} t + t + 3

Schritte zur Lösung

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

Solve linear ODE:

y = - 3 e^{t} + 2 e^{t} t + t + 3

y = - 3 e^{t} + 2 e^{t} t + t + 3

Graph

Beliebte Beispiele

derivative of 5^{x+1}

\frac{d}{d x} (5^{x + 1})

t an g e n t - 3 x^{2}

derivative of 4/(4x+1)

\frac{d}{d x} (\frac{4}{4 x + 1})

integral of (4+8x)/(1+x^2)

\int \frac{4 + 8 x}{1 + x ^{2}} d x

integral of 9x^2+4x-3

\int 9 x^{2} + 4 x - 3 d x