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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-4y^'-21y=320e^{-t}

y^{^{''}} - 4 y^{^{'}} - 21 y = 320 e^{- t}

6y^{''}-y^'-y=50e^{x/2}+4x^2-5

6 y^{^{''}} - y^{^{'}} - y = 50 e^{\frac{x}{2}} + 4 x^{2} - 5

(d^2y)/(dx^2)+5y-sin(pix)=0

\frac{d ^{2} y}{d x ^{2}} + 5 y - sin (π x) = 0

y^{''}+4y^'+5y=15t

y^{^{''}} + 4 y^{^{'}} + 5 y = 15 t

y^{''}-y^'=5sin(2t),y(0)=0,y^'(0)=1

y^{^{''}} - y^{^{'}} = 5 sin (2 t), y (0) = 0, y^{^{'}} (0) = 1