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Beliebt Rechnen >

y^{''}+16y=64sin(x),y(0)=-0.5,y^'(0)=0

Lösung

y^{^{''}} + 16 y = 64 sin (x), y (0) = - 0.5, y^{^{'}} (0) = 0

Lösung

y = - 0.5 cos (4 x) - 1.06666 \dots sin (4 x) + \frac{64}{15} sin (x)

Schritte zur Lösung

y^{''} (x) + 16 y = 64 sin (x)

Solve linear ODE:

y = - 0.5 cos (4 x) - 1.06666 \dots sin (4 x) + \frac{64}{15} sin (x)

y = - 0.5 cos (4 x) - 1.06666 \dots sin (4 x) + \frac{64}{15} sin (x)

Graph

Beliebte Beispiele

4y^{''}-4y^'+y=5e^x(sin(x)-cos(x))

4 y^{^{''}} - 4 y^{^{'}} + y = 5 e^{x} (sin (x) - cos (x))

x^{''}-4x^'+4x=3sin(2t)

x^{^{''}} - 4 x^{^{'}} + 4 x = 3 sin (2 t)

y^{^{''}} + y^{^{'}} = 10

d (x) = 12 x^{2} - 10 x

y^{''}-y^'-6y=12x-e^x,y(0)=1,y^'(0)=-2

y^{^{''}} - y^{^{'}} - 6 y = 12 x - e^{x}, y (0) = 1, y^{^{'}} (0) = - 2