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Beliebt Rechnen >

y^{''}+4y=r(x)

Lösung

y^{^{''}} + 4 y = r (x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + 4 y = r (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-2y^'+y=x^3+5x

y^{^{''}} - 2 y^{^{'}} + y = x^{3} + 5 x

y^{''}-2y^'+y=(e^x)/x+e^xx^2+5cos(2x)

y^{^{''}} - 2 y^{^{'}} + y = \frac{e ^{x}}{x} + e^{x} x^{2} + 5 cos (2 x)

y^{''}-2y^'+2y=2x-2,y^'(pi)=pi,y(0)=0

y^{^{''}} - 2 y^{^{'}} + 2 y = 2 x - 2, y^{^{'}} (π) = π, y (0) = 0

(d^2y)/(dx^2)+4y=sin^2(x)

\frac{d ^{2} y}{d x ^{2}} + 4 y = sin^{2} (x)

e^xy^{''}+2e^xy^'+ye^x=ln(x)

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