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Beliebt Rechnen >

y^{'''}+10y^{''}+25y^'=ex

Lösung

y^{^{'''}} + 10 y^{^{''}} + 25 y^{^{'}} = e x

Lösung

y = c_{1} + c_{2} e^{- 5 x} + c_{3} x e^{- 5 x} + \frac{e x ^{2}}{50} - \frac{2 e x}{125}

Schritte zur Lösung

y^{'''} (x) + 10 y^{''} (x) + 25 y^{'} (x) = e x

Solve linear ODE:

y = c_{1} + c_{2} e^{- 5 x} + c_{3} x e^{- 5 x} + \frac{e x ^{2}}{50} - \frac{2 e x}{125}

y = c_{1} + c_{2} e^{- 5 x} + c_{3} x e^{- 5 x} + \frac{e x ^{2}}{50} - \frac{2 e x}{125}

Graph

Beliebte Beispiele

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

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

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

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

u^{''}+au^'(t)=b

u^{^{''}} + a u^{^{'}} (t) = b

6y^{''}+3y^'-30y=16cos(x)

6 y^{^{''}} + 3 y^{^{'}} - 30 y = 16 cos (x)

y^{''}-5y^'-36y=e^{9x}

y^{^{''}} - 5 y^{^{'}} - 36 y = e^{9 x}