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Beliebt Rechnen >

y^{''}-y^'=2t^2+t-1

Lösung

y^{^{''}} - y^{^{'}} = 2 t^{2} + t - 1

Lösung

y = c_{1} e^{t} + c_{2} - \frac{2 t ^{3}}{3} - \frac{5 t ^{2}}{2} - 4 t

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{t} + c_{2} - \frac{2 t ^{3}}{3} - \frac{5 t ^{2}}{2} - 4 t

y = c_{1} e^{t} + c_{2} - \frac{2 t ^{3}}{3} - \frac{5 t ^{2}}{2} - 4 t

Graph

Beliebte Beispiele

y^{''}-2y=12x-10

y^{^{''}} - 2 y = 12 x - 10

y^{''}+2y^'+y=3sqrt((t-1))e^{-1}

y^{^{''}} + 2 y^{^{'}} + y = 3 (t - 1) e^{- 1}

y^{'''}+y^{''}=x+1

y^{^{'''}} + y^{^{''}} = x + 1

y^{''}+y-20y=(x+1)e^x

y^{^{''}} + y - 20 y = (x + 1) e^{x}

y^{''}-4y=sin(2x)

y^{^{''}} - 4 y = sin (2 x)