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Beliebt Rechnen >

x^{''}-25x=t^2+t

Lösung

x^{^{''}} - 25 x = t^{2} + t

Lösung

x = c_{1} e^{5 t} + c_{2} e^{- 5 t} - \frac{t ^{2}}{25} - \frac{t}{25} - \frac{2}{625}

Schritte zur Lösung

x^{''} (t) - 25 x = t^{2} + t

Solve linear ODE:

x = c_{1} e^{5 t} + c_{2} e^{- 5 t} - \frac{t ^{2}}{25} - \frac{t}{25} - \frac{2}{625}

x = c_{1} e^{5 t} + c_{2} e^{- 5 t} - \frac{t ^{2}}{25} - \frac{t}{25} - \frac{2}{625}

Graph

Beliebte Beispiele

y^{''}+2y^'-3y=2xsin(x)sin(2x)

y^{^{''}} + 2 y^{^{'}} - 3 y = 2 x sin (x) sin (2 x)

4y^{''}-4y^'+y=48e^{t/2}

4 y^{^{''}} - 4 y^{^{'}} + y = 48 e^{\frac{t}{2}}

y^{''}+3y^'+5y=sin(t),y(0)=1,y^'(0)=0

y^{^{''}} + 3 y^{^{'}} + 5 y = sin (t), y (0) = 1, y^{^{'}} (0) = 0

y^{''}+y^'-6y=3e^{2t}

y^{^{''}} + y^{^{'}} - 6 y = 3 e^{2 t}

y^{''}-4y=6x-4x^3

y^{^{''}} - 4 y = 6 x - 4 x^{3}