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Beliebt Rechnen >

y^{''}+4y=sin(x),y(0)=1,y^'(0)=2

Lösung

y^{^{''}} + 4 y = sin (x), y (0) = 1, y^{^{'}} (0) = 2

Lösung

y = cos (2 x) + \frac{5}{6} sin (2 x) + \frac{1}{3} sin (x)

Schritte zur Lösung

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

Solve linear ODE:

y = cos (2 x) + \frac{5}{6} sin (2 x) + \frac{1}{3} sin (x)

y = cos (2 x) + \frac{5}{6} sin (2 x) + \frac{1}{3} sin (x)

Graph

Beliebte Beispiele

x^{''}+4x=289+e^t*sin(2t)

x^{^{''}} + 4 x = 289 + e^{t} \cdot sin (2 t)

(d^2y)/(dx^2)+y=2xsin(x)

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

2y^{''}+3y^'-2y=10x^2-8x-15

2 y^{^{''}} + 3 y^{^{'}} - 2 y = 10 x^{2} - 8 x - 15

y^{''}+49y=-5cos(7t+pi/3),y(0)=0,y^'(0)=0

y^{^{''}} + 49 y = - 5 cos (7 t + \frac{π}{3}), y (0) = 0, y^{^{'}} (0) = 0

y^{''}+6y^'+13y=x^2

y^{^{''}} + 6 y^{^{'}} + 13 y = x^{2}