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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{1}{- π ^{2} + 5} sin (π x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{1}{- π ^{2} + 5} sin (π x)

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{1}{- π ^{2} + 5} sin (π x)

Graph

Beliebte Beispiele

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

(d^2y)/(dx^2)+9y=sin(3x)sec^2(3x)

\frac{d ^{2} y}{d x ^{2}} + 9 y = sin (3 x) sec^{2} (3 x)

y^{''}+5y^'+6y=sin(t)-cos(2t)

y^{^{''}} + 5 y^{^{'}} + 6 y = sin (t) - cos (2 t)

y^{''}+7y^'+6y=e^{2t}

y^{^{''}} + 7 y^{^{'}} + 6 y = e^{2 t}