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Beliebt Rechnen >

y^{''}-7y^'+10y=e^x

Lösung

y^{^{''}} - 7 y^{^{'}} + 10 y = e^{x}

Lösung

y = c_{1} e^{5 x} + c_{2} e^{2 x} + \frac{1}{4} e^{x}

Schritte zur Lösung

y^{''} (x) - 7 y^{'} (x) + 10 y = e^{x}

Solve linear ODE:

y = c_{1} e^{5 x} + c_{2} e^{2 x} + \frac{1}{4} e^{x}

y = c_{1} e^{5 x} + c_{2} e^{2 x} + \frac{1}{4} e^{x}

Graph

Beliebte Beispiele

y^{''}+ky=g-6t,y(0)=0,y^'(0)=0

y^{^{''}} + k y = g - 6 t, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+8y^'+16y=8sin(4x)

y^{^{''}} + 8 y^{^{'}} + 16 y = 8 sin (4 x)

y^{''}-2y^'+y=(x^2-2x)e^x

y^{^{''}} - 2 y^{^{'}} + y = (x^{2} - 2 x) e^{x}

y^{''}+y^'-2y=te^{3t}

y^{^{''}} + y^{^{'}} - 2 y = t e^{3 t}

y^{''}+24y^'+144y=t^2e^{-12t}+e^{-12t}

y^{^{''}} + 24 y^{^{'}} + 144 y = t^{2} e^{- 12 t} + e^{- 12 t}