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Beliebt Rechnen >

y^{''}+36y=0,y(0)=0,y^'(0)=3

Lösung

y^{^{''}} + 36 y = 0, y (0) = 0, y^{^{'}} (0) = 3

Lösung

y = \frac{1}{2} sin (6 t)

Schritte zur Lösung

y^{''} (t) + 36 y = 0

Solve linear ODE:

y = \frac{1}{2} sin (6 t)

y = \frac{1}{2} sin (6 t)

Graph

Beliebte Beispiele

y^{''}-8y^'-16y=0

y^{^{''}} - 8 y^{^{'}} - 16 y = 0

16y^{''}-72y^'+81y=0,y(0)=8

16 y^{^{''}} - 72 y^{^{'}} + 81 y = 0, y (0) = 8

y^{'''}-2y^{''}-40y^'-64y=0

y^{^{'''}} - 2 y^{^{''}} - 40 y^{^{'}} - 64 y = 0

(d^2f)/(dx^2)+k^2f(x)=0

\frac{d ^{2} f}{d x ^{2}} + k^{2} f (x) = 0

2y^{''}+3y^'=0,y(0)=1,y^'(0)=1

2 y^{^{''}} + 3 y^{^{'}} = 0, y (0) = 1, y^{^{'}} (0) = 1