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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-3y^'+2y=(x^2+x)e^{3x}

y^{^{''}} - 3 y^{^{'}} + 2 y = (x^{2} + x) e^{3 x}

y^{''}+2y^'+y=e^{3x},y(0)=0,y^'(0)=0

y^{^{''}} + 2 y^{^{'}} + y = e^{3 x}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-4y^'+3y=9x^2

y^{^{''}} - 4 y^{^{'}} + 3 y = 9 x^{2}

y^{''}+6y^'-7y=21x^2-8x-30

y^{^{''}} + 6 y^{^{'}} - 7 y = 21 x^{2} - 8 x - 30

y^{''}-2y^'-3y=6x+4,y(0)=1,y^'(0)=-3

y^{^{''}} - 2 y^{^{'}} - 3 y = 6 x + 4, y (0) = 1, y^{^{'}} (0) = - 3