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Beliebt Rechnen >

y^{''}+y=t+tsin(t)

Lösung

y^{^{''}} + y = t + t sin (t)

Lösung

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

Schritte zur Lösung

y^{''} (t) + y = t + t sin (t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-9y^'=81x^2+7

y^{^{''}} - 9 y^{^{'}} = 81 x^{2} + 7

y^{''}+y=sec^3(x),y(0)=1

y^{^{''}} + y = sec^{3} (x), y (0) = 1

-y^{''}+10y^'+25y=30x+3

- y^{^{''}} + 10 y^{^{'}} + 25 y = 30 x + 3

y^{''}+4y=5sec(2x)

y^{^{''}} + 4 y = 5 sec (2 x)

y^{''}+y=e^t+t^3,y(0)=2,y^'(0)=0

y^{^{''}} + y = e^{t} + t^{3}, y (0) = 2, y^{^{'}} (0) = 0