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Beliebt Rechnen >

y^{''}+4y=x^2+1

Lösung

y^{^{''}} + 4 y = x^{2} + 1

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x ^{2}}{4} + \frac{1}{8}

Schritte zur Lösung

y^{''} (x) + 4 y = x^{2} + 1

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x ^{2}}{4} + \frac{1}{8}

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x ^{2}}{4} + \frac{1}{8}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-7(dy)/(dx)+6y=e^x

\frac{d ^{2} y}{d x ^{2}} - 7 \frac{d y}{d x} + 6 y = e^{x}

y^{''}+y=12cos^2(x)

y^{^{''}} + y = 12 cos^{2} (x)

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

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

x^{''}+3x^'+33x=10cos(5t)

x^{^{''}} + 3 x^{^{'}} + 33 x = 10 cos (5 t)

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

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