(dy)/(dt)=-4y,y=pi

Lösung

\frac{d y}{d t} = - 4 y, y = π

y = π e^{- 4 t}

Schritte zur Lösung

\frac{d y}{d t} = - 4 y

Solve separable ODE:

y = π e^{- 4 t}

y = π e^{- 4 t}

\frac{d y}{d x} = - \frac{sin ( x )}{2 y ^{2}}

(x^{2} + 16) y^{^{'}} = x y

y^{^{'}} = - 2 x y^{4}

t y^{^{'}} + 2 y = 1

\frac{d y}{d x} = \frac{( x ^{3} )}{y}