What is the solution for 6t^4(dx)/(dt)-7x-3=0 ?

The solution for 6t^4(dx)/(dt)-7x-3=0 is x=(e^{(-7+126c_{1}t^3)/(18t^3)})/7-3/7

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6t^4(dx)/(dt)-7x-3=0

6 t^{4} \frac{d x}{d t} - 7 x - 3 = 0

x = \frac{e ^{\frac{- 7 + 126 c _{1} t ^{3}}{18 t ^{3}}}}{7} - \frac{3}{7}

Solution steps

6 t^{4} \frac{d x}{d t} - 7 x - 3 = 0

Solve separable ODE:

x = \frac{e ^{\frac{- 7 + 126 c _{1} t ^{3}}{18 t ^{3}}}}{7} - \frac{3}{7}

x = \frac{e ^{\frac{- 7 + 126 c _{1} t ^{3}}{18 t ^{3}}}}{7} - \frac{3}{7}

What is the solution for 6t^4(dx)/(dt)-7x-3=0 ?
The solution for 6t^4(dx)/(dt)-7x-3=0 is x=(e^{(-7+126c_{1}t^3)/(18t^3)})/7-3/7