What is the solution for 3t^5(dx)/(dt)+6x-5=0 ?

The solution for 3t^5(dx)/(dt)+6x-5=0 is x=(e^{(1-12c_{1}t^4)/(2t^4)})/6+5/6

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3t^5(dx)/(dt)+6x-5=0

3 t^{5} \frac{d x}{d t} + 6 x - 5 = 0

x = \frac{e ^{\frac{1 - 12 c _{1} t ^{4}}{2 t ^{4}}}}{6} + \frac{5}{6}

Solution steps

3 t^{5} \frac{d x}{d t} + 6 x - 5 = 0

Solve separable ODE:

x = \frac{e ^{\frac{1 - 12 c _{1} t ^{4}}{2 t ^{4}}}}{6} + \frac{5}{6}

x = \frac{e ^{\frac{1 - 12 c _{1} t ^{4}}{2 t ^{4}}}}{6} + \frac{5}{6}

What is the solution for 3t^5(dx)/(dt)+6x-5=0 ?
The solution for 3t^5(dx)/(dt)+6x-5=0 is x=(e^{(1-12c_{1}t^4)/(2t^4)})/6+5/6