(d^2y)/(dx^2)=9y

Lösung

\frac{d ^{2} y}{d x ^{2}} = 9 y

y = c_{1} e^{3 x} + c_{2} e^{- 3 x}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} = 9 y

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- 3 x}

y = c_{1} e^{3 x} + c_{2} e^{- 3 x}

\frac{d}{d x} (- 4 \cdot sin^{2} (x) + 4 \cdot sin^{2} (x + \frac{π}{3}))

t an g e n t f (x) = 0.6831 x^{- 1.031}, at x = 1

\frac{\partial}{\partial x} ((\frac{1}{x} + \frac{1}{y})^{- 1})

cos (x) \frac{d y}{d x} + sin (x) y = 1

\int x^{3} - \frac{1}{2} d x