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Beliebt Rechnen >

10x^{''}+25x^'=0

Lösung

10 x^{^{''}} + 25 x^{^{'}} = 0

Lösung

x = c_{1} + c_{2} e^{- \frac{5 t}{2}}

Schritte zur Lösung

10 x^{''} (t) + 25 x^{'} (t) = 0

Solve linear ODE:

x = c_{1} + c_{2} e^{- \frac{5 t}{2}}

x = c_{1} + c_{2} e^{- \frac{5 t}{2}}

Graph

Beliebte Beispiele

x^{''}+8x^'+11x=0,x(0)=0,x^'(0)=3

x^{^{''}} + 8 x^{^{'}} + 11 x = 0, x (0) = 0, x^{^{'}} (0) = 3

y^{''}-8y^{''}-9y=0

y^{^{''}} - 8 y^{^{''}} - 9 y = 0

y^{''}+3y^'+2y=0,y(0)= 1/4

y^{^{''}} + 3 y^{^{'}} + 2 y = 0, y (0) = \frac{1}{4}

y^{''}+(3-a)y^'+2(a-1)y=0

y^{^{''}} + (3 - a) y^{^{'}} + 2 (a - 1) y = 0

(d^2y)/(dx^2)-12(dy)/(dx)-64y=0

\frac{d ^{2} y}{d x ^{2}} - 12 \frac{d y}{d x} - 64 y = 0