y^'+2/(200+t)y=3

Lösung

y^{^{'}} + \frac{2}{200 + t} y = 3

y = \frac{120000 t}{40000 + 400 t + t ^{2}} + \frac{600 t ^{2}}{40000 + 400 t + t ^{2}} + \frac{t ^{3}}{40000 + 400 t + t ^{2}} + \frac{c _{1}}{40000 + 400 t + t ^{2}}

Schritte zur Lösung

y^{'} (t) + \frac{2}{200 + t} y = 3

Solve linear ODE:

y = \frac{120000 t}{40000 + 400 t + t ^{2}} + \frac{600 t ^{2}}{40000 + 400 t + t ^{2}} + \frac{t ^{3}}{40000 + 400 t + t ^{2}} + \frac{c _{1}}{40000 + 400 t + t ^{2}}

y = \frac{120000 t}{40000 + 400 t + t ^{2}} + \frac{600 t ^{2}}{40000 + 400 t + t ^{2}} + \frac{t ^{3}}{40000 + 400 t + t ^{2}} + \frac{c _{1}}{40000 + 400 t + t ^{2}}

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