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Beliebt Rechnen >

y^{''}+4y=4t^2

Lösung

y^{^{''}} + 4 y = 4 t^{2}

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(D^2-4)y=4x-3e^x

(D^{2} - 4) y = 4 x - 3 e^{x}

y^{'''}-y^{''}-y^'+1=0

y^{^{'''}} - y^{^{''}} - y^{^{'}} + 1 = 0

y^{''}+9y=sin(2x),y(0)=-1,y^'(0)=0

y^{^{''}} + 9 y = sin (2 x), y (0) = - 1, y^{^{'}} (0) = 0

y^{''}+2y^'+y=e^3+e^{2x}

y^{^{''}} + 2 y^{^{'}} + y = e^{3} + e^{2 x}

y^{''}-9y=sin(x)

y^{^{''}} - 9 y = sin (x)