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Beliebt Rechnen >

y^{''}+4y=1,6ty(0)=3,y^'(0)=-6

Lösung

y^{^{''}} + 4 y = 1, 6 t y (0) = 3, y^{^{'}} (0) = - 6

Lösung

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{1}{4}

Schritte zur Lösung

y^{''} (t) + 4 y = 1

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{1}{4}

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{1}{4}

Graph

Beliebte Beispiele

y^{''}+2y^'+2y=acos(bt)

y^{^{''}} + 2 y^{^{'}} + 2 y = a cos (b t)

y^{''''}+2y^{''}+y=9+cos(4t)

y^{^{''''}} + 2 y^{^{''}} + y = 9 + cos (4 t)

y^{''}+10y^'+16y=40cos(4t)

y^{^{''}} + 10 y^{^{'}} + 16 y = 40 cos (4 t)

y^{''}-2y^'+y=(13e^t)/(1+t^2)

y^{^{''}} - 2 y^{^{'}} + y = \frac{13 e ^{t}}{1 + t ^{2}}

y^{''}+36y=7sec(6x)

y^{^{''}} + 36 y = 7 sec (6 x)