(dx)/(dt)+3t^3x^5+x/t =0

解

\frac{d x}{d t} + 3 t^{3} x^{5} + \frac{x}{t} = 0

x = 4 \frac{1}{t ^{4} ( 12 ln ( t ) + c _{1} )}, x = - 4 \frac{1}{t ^{4} ( 12 ln ( t ) + c _{1} )}

解答ステップ

\frac{d x}{d t} + 3 t^{3} x^{5} + \frac{x}{t} = 0

ベルヌーイ ODE を解く:

x = 4 \frac{1}{t ^{4} ( 12 ln ( t ) + c _{1} )}, x = - 4 \frac{1}{t ^{4} ( 12 ln ( t ) + c _{1} )}

x = 4 \frac{1}{t ^{4} ( 12 ln ( t ) + c _{1} )}, x = - 4 \frac{1}{t ^{4} ( 12 ln ( t ) + c _{1} )}