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Beliebt Rechnen >

4y^{''}+9y=0,y(0)=2,y^'(0)=3

Lösung

4 y^{^{''}} + 9 y = 0, y (0) = 2, y^{^{'}} (0) = 3

Lösung

y = 2 cos (\frac{3 t}{2}) + 2 sin (\frac{3 t}{2})

Schritte zur Lösung

4 y^{''} (t) + 9 y = 0

Solve linear ODE:

y = 2 cos (\frac{3 t}{2}) + 2 sin (\frac{3 t}{2})

y = 2 cos (\frac{3 t}{2}) + 2 sin (\frac{3 t}{2})

Graph

Beliebte Beispiele

derivative of a(2e^{-3x}x-3e^{-3x}x^2)

(\partial)/(\partial x)(-sin(4x))

derivative f(x)=sqrt(x^2+2x+3)

integral of 4 x/((x+2)^{(1/4))}

limit as x approaches 1-of 3^{1/x}