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Beliebt Rechnen >

x^{''}+6x^'+34x=68,x(0)=5,x^'(0)=7

Lösung

x^{^{''}} + 6 x^{^{'}} + 34 x = 68, x (0) = 5, x^{^{'}} (0) = 7

Lösung

x = e^{- 3 t} (3 cos (5 t) + \frac{16}{5} sin (5 t)) + 2

Schritte zur Lösung

x^{''} (t) + 6 x^{'} (t) + 34 x = 68

Solve linear ODE:

x = e^{- 3 t} (3 cos (5 t) + \frac{16}{5} sin (5 t)) + 2

x = e^{- 3 t} (3 cos (5 t) + \frac{16}{5} sin (5 t)) + 2

Graph

Beliebte Beispiele

y^{''}+9y=13sec^2(3t)

y^{^{''}} + 9 y = 13 sec^{2} (3 t)

y^{''}+2y^'=2x+5-e-2x

y^{^{''}} + 2 y^{^{'}} = 2 x + 5 - e - 2 x

y^{''}-2y^'+y=x^3+8x

y^{^{''}} - 2 y^{^{'}} + y = x^{3} + 8 x

y^{''}-3y^'=sin(4t)

y^{^{''}} - 3 y^{^{'}} = sin (4 t)

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

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