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Beliebt Rechnen >

y^{''}-2y^'+y=0,y(0)=5,y^'(0)=10

Lösung

y^{^{''}} - 2 y^{^{'}} + y = 0, y (0) = 5, y^{^{'}} (0) = 10

Lösung

y = 5 e^{t} + 5 t e^{t}

Schritte zur Lösung

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

Solve linear ODE:

y = 5 e^{t} + 5 t e^{t}

y = 5 e^{t} + 5 t e^{t}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(tanh(x))

\frac{\partial}{\partial x} (tanh (x))

limit as x approaches 0 of (tan(5x))/x

x \to 0 lim (\frac{tan ( 5 x )}{x})

integral of 1/(x^3)-x

\int \frac{1}{x ^{3}} - x d x

derivative of x^3(x-3^2)

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

limit as x approaches 0 of 2

x \to 0 lim (2)