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Beliebt Rechnen >

x^{''}-7x^'+12=12,x(0)=5,x^'(0)=5

Lösung

x^{^{''}} - 7 x^{^{'}} + 12 = 12, x (0) = 5, x^{^{'}} (0) = 5

Lösung

x = (5 - \frac{30}{7}) e^{7 t} + \frac{30}{7}

Schritte zur Lösung

x^{''} (t) - 7 x^{'} (t) + 12 = 12

Solve linear ODE:

x = (5 - \frac{30}{7}) e^{7 t} + \frac{30}{7}

x = (5 - \frac{30}{7}) e^{7 t} + \frac{30}{7}

Graph

Beliebte Beispiele

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

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

y^{'''}+12y^'+36y^'=0

y^{^{'''}} + 12 y^{^{'}} + 36 y^{^{'}} = 0

y^{''}+0y^'+9y=0

y^{^{''}} + 0 y^{^{'}} + 9 y = 0

y^{''}+ay=0,y(0)=0,y(5)=0

y^{^{''}} + a y = 0, y (0) = 0, y (5) = 0

y^{''}-18y^'+162y=0

y^{^{''}} - 18 y^{^{'}} + 162 y = 0