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Beliebt Rechnen >

(d^2y)/(dx^2)+2y=6x,y(0)=0,y^'(0)=0

Lösung

\frac{d ^{2} y}{d x ^{2}} + 2 y = 6 x, y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = 3 x - \frac{3}{2} sin (2 x)

Schritte zur Lösung

y^{''} (x) + 2 y = 6 x

Solve linear ODE:

y = 3 x - \frac{3}{2} sin (2 x)

y = 3 x - \frac{3}{2} sin (2 x)

Graph

Beliebte Beispiele

y^{''}(p)+6y^'(p)+9y(p)=p

y^{^{''}} (p) + 6 y^{^{'}} (p) + 9 y (p) = p

y^{''}-2y^'-35y=768e^{-t}

y^{^{''}} - 2 y^{^{'}} - 35 y = 768 e^{- t}

y^{''}-y^'-6y=-e^x+12

y^{^{''}} - y^{^{'}} - 6 y = - e^{x} + 12

y^{''}+4y=sec(22x)

y^{^{''}} + 4 y = sec (22 x)

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

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