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Beliebt Rechnen >

y^{''}-4y^'+5y=0

Lösung

y^{^{''}} - 4 y^{^{'}} + 5 y = 0

Lösung

y = e^{2 t} (c_{1} cos (t) + c_{2} sin (t))

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) + 5 y = 0

Solve linear ODE:

y = e^{2 t} (c_{1} cos (t) + c_{2} sin (t))

y = e^{2 t} (c_{1} cos (t) + c_{2} sin (t))

Graph

Beliebte Beispiele

(\partial)/(\partial y)(x^2+xe^{2y})

\frac{\partial}{\partial y} (x^{2} + x e^{2 y})

y^{^{'}} + y = 2 e^{x}

integral of (ln(4x))/(2x)

\int \frac{ln ( 4 x )}{2 x} d x

integral from 1 to 4 of 7(ln(x))/(x^2)

\int_{1}^{4} 7 \frac{ln ( x )}{x ^{2}} d x

integral of 1/(x+8)

\int \frac{1}{x + 8} d x