y^{''}+1/2 y^'+1/16 y=0,y(0)=0,y^'(0)=5

Lösung

y^{^{''}} + \frac{1}{2} y^{^{'}} + \frac{1}{16} y = 0, y (0) = 0, y^{^{'}} (0) = 5

y = 5 e^{- \frac{t}{4}} t

Schritte zur Lösung

y^{''} (t) + \frac{1}{2} y^{'} (t) + \frac{1}{16} y = 0

Solve linear ODE:

y = 5 e^{- \frac{t}{4}} t

y = 5 e^{- \frac{t}{4}} t

\frac{\partial}{\partial y} (e^{x y} - z)

y^{^{''}} + 12 y^{^{'}} + 37 y = 0

x \to - 5 - lim (\frac{- 2}{x ^{2} - 25})

d er i v a t i v e \frac{18 x + 4 x ^{2}}{( 9 + 4 x ) ^{2}}

\int e^{- x} cos (a x) d x