# [✓] Solve and Plot numerically this differential equation?

GROUPS:
 Consider the following code: e1 = 0.001; e^0.4 = {{2.37/de^0.06} - 1.6}/10 {1 - Log[de]/13.8}^0.7 the initial value is e1=0.001 for t0=1 and the time period is between {t,1,18000}
 Gianluca Gorni 1 Vote Your equation is implicit in the derivative. We can work around the problem by taking the derivative of the equation, which makes it explicit in the second derivative. If I don't misunderstand your syntax, here is an attempt: eq = e[t]^(4/10) == (((237/100)/e'[t]^ (6/100)) - 16/10)/(10 (1 - Log[e'[t]]/(138/10))^(7/100)) deq = Simplify@D[eq, t] de1 = e'[1] /. Solve[eq /. {t -> 1} /. e[1] -> 1/1000, e'[1], Reals][[1]] // N sol = NDSolveValue[{deq, e[1] == 1/1000, e'[1] == de1}, e, {t, 1, 18000}] Plot[sol[t], {t, 1, 18000}]