(dy)/(dx)=1-(y/(100))

Lösung

\frac{d y}{d x} = 1 - (\frac{y}{100})

y = - e^{\frac{- x - c _{1}}{100}} + 100

Schritte zur Lösung

\frac{d y}{d x} = 1 - (\frac{y}{100})

Solve separable ODE:

y = - e^{\frac{- x - c _{1}}{100}} + 100

y = - e^{\frac{- x - c _{1}}{100}} + 100

y^{^{'}} = (\frac{x}{y})^{2}

y^{^{'}} = \frac{( 3 x ^{2} )}{( 4 + 2 y )}

(1 + x^{12}) \frac{d y}{d x} = \frac{x ^{11}}{y}

\frac{d y}{d x} = x^{2} y^{- 7}

(x - 2) y^{^{'}} = 3 y