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Beliebt Rechnen >

(d^2y)/(dx^2)-4 derivative of 4+4y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d}{d x} (4) + 4 y = 0

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x)

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d}{d x} (4) + 4 y = 0

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x)

y = c_{1} cos (2 x) + c_{2} sin (2 x)

Graph

Beliebte Beispiele

-0.0375x^{''}+0.4535x^'+3.34x=0

- 0.0375 x^{^{''}} + 0.4535 x^{^{'}} + 3.34 x = 0

y^{^{'}} = 7 y^{^{''}}

6y^{'''}+78y^'-696y=0

6 y^{^{'''}} + 78 y^{^{'}} - 696 y = 0

y^{''}-1/(a^2)y=0

y^{^{''}} - \frac{1}{a ^{2}} y = 0

y^{''}+y^'-6y=0,y(0)=-3

y^{^{''}} + y^{^{'}} - 6 y = 0, y (0) = - 3