(dy)/(dt)+0.4ty=4t

Lösung

\frac{d y}{d t} + 0.4 t y = 4 t

y = \frac{5 e ^{\frac{- t ^{2} + c _{1}}{5}}}{2} + 10

Schritte zur Lösung

\frac{d y}{d t} + 0.4 t y = 4 t

Solve separable ODE:

y = \frac{5 e ^{\frac{- t ^{2} + c _{1}}{5}}}{2} + 10

y = \frac{5 e ^{\frac{- t ^{2} + c _{1}}{5}}}{2} + 10

y^{^{'}} = (1 + 4 x) y

y^{^{'}} + 18 x y = 0

x^{^{'}} + a x = b

x^{^{'}} = 1 - 2.2 x

y^{^{'}} = 4 x^{3} y^{4}