y^{''}+(a_{1^2}pi^2)/(a_{2)^2}a_{3}^2y=0

Lösung

y^{^{''}} + \frac{a _{1^{2}} π ^{2}}{a _{2}^{2}} a_{3}^{2} y = 0

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

Schritte zur Lösung

y^{''} (t) + \frac{a _{1^{2}} π ^{2}}{a _{2}^{2}} a_{3}^{2} y = 0

Solve linear ODE:

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

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

in v erse l a pl a ce sin (s)

\int - e^{x} + sin (2 x) d x

\int_{0}^{3} cos (\frac{n x π}{3}) d x

\frac{d}{d x} (\frac{x - 1}{x + 2})

\frac{\partial}{\partial x} (\frac{x}{4} + y)