What is the solution for (dx)/(dt)=t^3(1-x),x(0)=3 ?

The solution for (dx)/(dt)=t^3(1-x),x(0)=3 is x=1+2/(e^{\frac{t^4){4}}}

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(dx)/(dt)=t^3(1-x),x(0)=3

\frac{d x}{d t} = t^{3} (1 - x), x (0) = 3

x = 1 + \frac{2}{e ^{\frac{t ^{4}}{4}}}

Solution steps

\frac{d x}{d t} = t^{3} (1 - x)

Solve linear ODE:

x = 1 + \frac{2}{e ^{\frac{t ^{4}}{4}}}

x = 1 + \frac{2}{e ^{\frac{t ^{4}}{4}}}

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What is the solution for (dx)/(dt)=t^3(1-x),x(0)=3 ?
The solution for (dx)/(dt)=t^3(1-x),x(0)=3 is x=1+2/(e^{\frac{t^4){4}}}