y^'=0.1-y/(400)

Lösung

y^{^{'}} = 0.1 - \frac{y}{400}

y = - e^{\frac{- t - c _{1}}{400}} + 40

Schritte zur Lösung

y^{'} (t) = 0.1 - \frac{y}{400}

Solve separable ODE:

y = - e^{\frac{- t - c _{1}}{400}} + 40

y = - e^{\frac{- t - c _{1}}{400}} + 40

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

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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