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Beliebt Rechnen >

y^{''}+4y=sin(x),y^'(pi)=0,y(0)=0

Lösung

y^{^{''}} + 4 y = sin (x), y^{^{'}} (π) = 0, y (0) = 0

Lösung

y = \frac{1}{6} sin (2 x) + \frac{1}{3} sin (x)

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{1}{6} sin (2 x) + \frac{1}{3} sin (x)

y = \frac{1}{6} sin (2 x) + \frac{1}{3} sin (x)

Graph

Beliebte Beispiele

y^{'''}-19y^'+30y=x^2e^{2x}

y^{^{'''}} - 19 y^{^{'}} + 30 y = x^{2} e^{2 x}

y^{''}-y^'+144y=12sin(12t)

y^{^{''}} - y^{^{'}} + 144 y = 12 sin (12 t)

y^{''}+2y^'-3y=2cos(x)

y^{^{''}} + 2 y^{^{'}} - 3 y = 2 cos (x)

y^{^{''}} - 4 y = 1

y^{^{''}} - 4 y = 5