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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2-1)y=e^x+4e^{-x}

(d^{2} - 1) y = e^{x} + 4 e^{- x}

y^{''}-4y-12y=2sin(t)

y^{^{''}} - 4 y - 12 y = 2 sin (t)

y^{''}+4y=3cos(2)

y^{^{''}} + 4 y = 3 cos (2)

y^{''}-4y^'+5y=e^2x,y(0)=1,y^'(0)=3

y^{^{''}} - 4 y^{^{'}} + 5 y = e^{2} x, y (0) = 1, y^{^{'}} (0) = 3

8y^{''}-y^'+y+x^2=0

8 y^{^{''}} - y^{^{'}} + y + x^{2} = 0