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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- t} + \frac{t ^{3}}{3}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + \frac{t ^{3}}{3}

y = c_{1} + c_{2} e^{- t} + \frac{t ^{3}}{3}

Graph

Beliebte Beispiele

y^{''}+9y=10,e^{-t}y(0)y^'(0)=0

y^{^{''}} + 9 y = 10, e^{- t} y (0) y^{^{'}} (0) = 0

y^{''}-4y^'+3y=xcos(x)

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

y^{''}+y=(cos(x)+1)/(sin(x))

y^{^{''}} + y = \frac{cos ( x ) + 1}{sin ( x )}

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

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

y^{''}+2y^'-3y=sin(t)

y^{^{''}} + 2 y^{^{'}} - 3 y = sin (t)