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Beliebt Rechnen >

y^{''}+4pi(y^')/(20)+100pi^2y=0

Lösung

y^{^{''}} + 4 \cdot π \cdot \frac{y ^{^{'}}}{20} + 100 \cdot π^{2} \cdot y = 0

Lösung

y = e^{- \frac{π t}{10}} (c_{1} cos (\frac{3 1111 π t}{10}) + c_{2} sin (\frac{3 1111 π t}{10}))

Schritte zur Lösung

y^{''} (t) + 4 \cdot π \cdot \frac{y ^{'} ( t )}{20} + 100 \cdot π^{2} \cdot y = 0

Solve linear ODE:

y = e^{- \frac{π t}{10}} (c_{1} cos (\frac{3 1111 π t}{10}) + c_{2} sin (\frac{3 1111 π t}{10}))

y = e^{- \frac{π t}{10}} (c_{1} cos (\frac{3 1111 π t}{10}) + c_{2} sin (\frac{3 1111 π t}{10}))

Graph

Beliebte Beispiele

(d^6-4d^4+4d^2)*y=0

(d^{6} - 4 d^{4} + 4 d^{2}) \cdot y = 0

4y^{'''}-12y^'+9y^'=0

4 y^{^{'''}} - 12 y^{^{'}} + 9 y^{^{'}} = 0

y^{''}-y^'-5y=0

y^{^{''}} - y^{^{'}} - 5 y = 0

5/8 x^{''}+80x=0

\frac{5}{8} x^{^{''}} + 80 x = 0

(d^2x)/(dt^2)=-4x

\frac{d ^{2} x}{d t ^{2}} = - 4 x