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Beliebt Rechnen >

5/32 y^{''}+1/4 y=0

Lösung

\frac{5}{32} y^{^{''}} + \frac{1}{4} y = 0

Lösung

y = c_{1} cos (\frac{2 ^{3}}{5} t) + c_{2} sin (\frac{2 ^{3}}{5} t)

Schritte zur Lösung

\frac{5}{32} y^{''} (t) + \frac{1}{4} y = 0

Solve linear ODE:

y = c_{1} cos (\frac{2 ^{3}}{5} t) + c_{2} sin (\frac{2 ^{3}}{5} t)

y = c_{1} cos (\frac{2 ^{3}}{5} t) + c_{2} sin (\frac{2 ^{3}}{5} t)

Graph

Beliebte Beispiele

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

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

y^{''}-6y^'+9y=0,y(0)=2,y^'(0)=7

y^{^{''}} - 6 y^{^{'}} + 9 y = 0, y (0) = 2, y^{^{'}} (0) = 7

y^{'''}+13y^{''}+43y^'+31y=0

y^{^{'''}} + 13 y^{^{''}} + 43 y^{^{'}} + 31 y = 0

y^{''}-16y=0,y(0)=1,y^{''}(0)=2

y^{^{''}} - 16 y = 0, y (0) = 1, y^{^{''}} (0) = 2

y^{''''}-3y^{'''}+3y^{''}=0

y^{^{''''}} - 3 y^{^{'''}} + 3 y^{^{''}} = 0