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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{''} (x) + y = x^{2} + 2

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

D^2(D+3)^2y=9e^{-3x}

D^{2} (D + 3)^{2} y = 9 e^{- 3 x}

y^{'''}-2y^{''}-y^'+2y=e^{6t}

y^{^{'''}} - 2 y^{^{''}} - y^{^{'}} + 2 y = e^{6 t}

2y^{''}+3y^'+y=sin(x),y(0)=1,y^'(0)=2

2 y^{^{''}} + 3 y^{^{'}} + y = sin (x), y (0) = 1, y^{^{'}} (0) = 2

y^{''}+4y^'=10sin(2x)

y^{^{''}} + 4 y^{^{'}} = 10 sin (2 x)

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

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