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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{^{''}} + 4 y = 4 + 2 x

(d^2y)/(dx^2)-(dy)/(dx)=sin(x)-cos(x)

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} = sin (x) - cos (x)

4y^{''}+4y^'+y=2e^{-x}

4 y^{^{''}} + 4 y^{^{'}} + y = 2 e^{- x}

x^{''}+5x^'+17x=12cos(3t)

x^{^{''}} + 5 x^{^{'}} + 17 x = 12 cos (3 t)

y^{''}+2y^'+y=e^{-x}(2x+5)

y^{^{''}} + 2 y^{^{'}} + y = e^{- x} (2 x + 5)