y^'=9.8-(ky)/7 ,y(0)=94

Lösung

y^{^{'}} = 9.8 - \frac{k y}{7}, y (0) = 94

y = - \frac{9.8 e ^{- \frac{k t}{7}}}{0.14285 \dots k} + \frac{13.42857 \dots e ^{- \frac{k t}{7}}}{0.14285 \dots} + \frac{9.8}{0.14285 \dots k}

Schritte zur Lösung

y^{'} (t) = 9.8 - \frac{k y}{7}

Solve separable ODE:

y = - \frac{9.8 e ^{- \frac{k t}{7}}}{0.14285 \dots k} + \frac{13.42857 \dots e ^{- \frac{k t}{7}}}{0.14285 \dots} + \frac{9.8}{0.14285 \dots k}

y = - \frac{9.8 e ^{- \frac{k t}{7}}}{0.14285 \dots k} + \frac{13.42857 \dots e ^{- \frac{k t}{7}}}{0.14285 \dots} + \frac{9.8}{0.14285 \dots k}

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