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Beliebt Rechnen >

y^{''}+10y^'+15=0

Lösung

y^{^{''}} + 10 y^{^{'}} + 15 = 0

Lösung

y = c_{1} + c_{2} e^{- 10 t} - \frac{3 t}{2}

Schritte zur Lösung

y^{''} (t) + 10 y^{'} (t) + 15 = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- 10 t} - \frac{3 t}{2}

y = c_{1} + c_{2} e^{- 10 t} - \frac{3 t}{2}

Graph

Beliebte Beispiele

(d^2x)/(dt^2)+(dx)/(dt)+x=1

\frac{d ^{2} x}{d t ^{2}} + \frac{d x}{d t} + x = 1

y^{''}+y^'-y=t*e^t

y^{^{''}} + y^{^{'}} - y = t \cdot e^{t}

x^{''}+12x^'+11x=9cos(2t)

x^{^{''}} + 12 x^{^{'}} + 11 x = 9 cos (2 t)

y^{''}-7y^'=5x*e^x

y^{^{''}} - 7 y^{^{'}} = 5 x \cdot e^{x}

y^{''}+y^'-32y=16cos(x)

y^{^{''}} + y^{^{'}} - 32 y = 16 cos (x)