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Beliebt Rechnen >

(d^2y)/(dx^2)-10(dy)/(dx)+5^2y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} - 10 \frac{d y}{d x} + 5^{2} y = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 10 \frac{d y}{d x} + 5^{2} y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

linear 12(d^2y)/(dx^2)-5(dy)/(dx)-3y=0

l in e a r 12 \frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} - 3 y = 0

(d^2y)/(dx^2)(1)-(dy)/(dx)(10)=0

\frac{d ^{2} y}{d x ^{2}} (1) - \frac{d y}{d x} (10) = 0

y^{'''}-15y^{''}+72y^'-108y=0

y^{^{'''}} - 15 y^{^{''}} + 72 y^{^{'}} - 108 y = 0

y^{'''}+(-7)y^{''}+8y^'+16y=0

y^{^{'''}} + (- 7) y^{^{''}} + 8 y^{^{'}} + 16 y = 0

y^{''}+2y^'+y=0,y(1)=-xe^x

y^{^{''}} + 2 y^{^{'}} + y = 0, y (1) = - x e^{x}