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Beliebt Rechnen >

625y^{''}+729y=0,y(0)=7,y^'(0)=3

Lösung

625 y^{^{''}} + 729 y = 0, y (0) = 7, y^{^{'}} (0) = 3

Lösung

y = 7 cos (\frac{27 t}{25}) + \frac{25}{9} sin (\frac{27 t}{25})

Schritte zur Lösung

625 y^{''} (t) + 729 y = 0

Solve linear ODE:

y = 7 cos (\frac{27 t}{25}) + \frac{25}{9} sin (\frac{27 t}{25})

y = 7 cos (\frac{27 t}{25}) + \frac{25}{9} sin (\frac{27 t}{25})

Graph

Beliebte Beispiele

linear x^{''}+2x^'+10x=0

l in e a r x^{^{''}} + 2 x^{^{'}} + 10 x = 0

f^{''}(t)-4f^'(t)+3f(t)=0,f(0)=3,f^'(0)=5

f^{^{''}} (t) - 4 f^{^{'}} (t) + 3 f (t) = 0, f (0) = 3, f^{^{'}} (0) = 5

1/8 y^{''}-2y=0

\frac{1}{8} y^{^{''}} - 2 y = 0

y^{''}-8y+20y=0

y^{^{''}} - 8 y + 20 y = 0

(D^4+6D^3+9D^2)y=0

(D^{4} + 6 D^{3} + 9 D^{2}) y = 0