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Beliebt Rechnen >

y^{''}+y=4e^x+x^2-x

Lösung

y^{^{''}} + y = 4 e^{x} + x^{2} - x

Lösung

y = c_{1} cos (x) + c_{2} sin (x) + 2 e^{x} + x^{2} - x - 2

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + 2 e^{x} + x^{2} - x - 2

y = c_{1} cos (x) + c_{2} sin (x) + 2 e^{x} + x^{2} - x - 2

Graph

Beliebte Beispiele

y^{''}+4y^'+3y=1

y^{^{''}} + 4 y^{^{'}} + 3 y = 1

y^{''}+4y=9sin(t),y(0)=1,y^'(0)=-1

y^{^{''}} + 4 y = 9 sin (t), y (0) = 1, y^{^{'}} (0) = - 1

y^{''}+y^'=2e^x

y^{^{''}} + y^{^{'}} = 2 e^{x}

y^{''}+25y=3,y(0)=1,y^'(0)=5

y^{^{''}} + 25 y = 3, y (0) = 1, y^{^{'}} (0) = 5

y^{''}+20y^'+200y=400

y^{^{''}} + 20 y^{^{'}} + 200 y = 400