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Beliebt Rechnen >

y^{''}-9y^'=81x^2+7

Lösung

y^{^{''}} - 9 y^{^{'}} = 81 x^{2} + 7

Lösung

y = c_{1} e^{9 x} + c_{2} - 3 x^{3} - x^{2} - x

Schritte zur Lösung

y^{''} (x) - 9 y^{'} (x) = 81 x^{2} + 7

Solve linear ODE:

y = c_{1} e^{9 x} + c_{2} - 3 x^{3} - x^{2} - x

y = c_{1} e^{9 x} + c_{2} - 3 x^{3} - x^{2} - x

Graph

Beliebte Beispiele

y^{''}+y=sec^3(x),y(0)=1

y^{^{''}} + y = sec^{3} (x), y (0) = 1

-y^{''}+10y^'+25y=30x+3

- y^{^{''}} + 10 y^{^{'}} + 25 y = 30 x + 3

y^{''}+4y=5sec(2x)

y^{^{''}} + 4 y = 5 sec (2 x)

y^{''}+y=e^t+t^3,y(0)=2,y^'(0)=0

y^{^{''}} + y = e^{t} + t^{3}, y (0) = 2, y^{^{'}} (0) = 0

y^{''}-4y^'-12y=3e^{5t}

y^{^{''}} - 4 y^{^{'}} - 12 y = 3 e^{5 t}