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Beliebt Rechnen >

(d^2y)/(dx^2)-25y=3x^2-2+e^x

Lösung

\frac{d ^{2} y}{d x ^{2}} - 25 y = 3 x^{2} - 2 + e^{x}

Lösung

y = c_{1} e^{5 x} + c_{2} e^{- 5 x} - \frac{3 x ^{2}}{25} + \frac{44}{625} - \frac{1}{24} e^{x}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 25 y = 3 x^{2} - 2 + e^{x}

Solve linear ODE:

y = c_{1} e^{5 x} + c_{2} e^{- 5 x} - \frac{3 x ^{2}}{25} + \frac{44}{625} - \frac{1}{24} e^{x}

y = c_{1} e^{5 x} + c_{2} e^{- 5 x} - \frac{3 x ^{2}}{25} + \frac{44}{625} - \frac{1}{24} e^{x}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-4((dy)/(dx))+8y=xe^x

y^{''}-4y^'+4y=5t^2,y(1)=0

(dq)/(20-q)= 1/16 dT

y^{''}-y^'+4y=4,e^{2x}y(0)=2,y^'(0)=4

y^{''}+4y^'+5y=e^{2x}+1