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Beliebt Rechnen >

y^{''}+2y^'-48y=0

Lösung

y^{^{''}} + 2 y^{^{'}} - 48 y = 0

Lösung

y = c_{1} e^{6 t} + c_{2} e^{- 8 t}

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) - 48 y = 0

Solve linear ODE:

y = c_{1} e^{6 t} + c_{2} e^{- 8 t}

y = c_{1} e^{6 t} + c_{2} e^{- 8 t}

Graph

Beliebte Beispiele

integral of u/u

\int \frac{u}{u} d u

tangent f(x)= 1/x+4,(-2,8)

t an g e n t f (x) = \frac{1}{x} + 4, (- 2, 8)

(\partial)/(\partial x)(3t^2e^{4x})

\frac{\partial}{\partial x} (3 t^{2} e^{4 x})

limit as x approaches 1 of (3x-1)^2

x \to 1 lim ((3 x - 1)^{2})

x^2y^{''}+3xy^'+y=0

x^{2} y^{^{''}} + 3 x y^{^{'}} + y = 0