(dx)/(dt)=1.5-(2x)/(100+t)

Lösung

\frac{d x}{d t} = 1.5 - \frac{2 x}{100 + t}

x = \frac{1.5 ( 10000 t + 100 t ^{2} + 0.33333 \dots t ^{3} )}{10000 + 200 t + t ^{2}} + \frac{c _{1}}{10000 + 200 t + t ^{2}}

Schritte zur Lösung

\frac{d x}{d t} = 1.5 - \frac{2 x}{100 + t}

Solve linear ODE:

x = \frac{1.5 ( 10000 t + 100 t ^{2} + 0.33333 \dots t ^{3} )}{10000 + 200 t + t ^{2}} + \frac{c _{1}}{10000 + 200 t + t ^{2}}

x = \frac{1.5 ( 10000 t + 100 t ^{2} + 0.33333 \dots t ^{3} )}{10000 + 200 t + t ^{2}} + \frac{c _{1}}{10000 + 200 t + t ^{2}}

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