Suppose when solving a differential equation, you get to the stage $\frac{t^4}{4}=ln|x|+c$. Is it valid to then arrive at $t=\sqrt{2}(ln|x|+c)^\frac{1}{4}$? The graph of $y^4=x^4$ is not the same as that of $y=x$, so why is it valid to take the fourth root of both sides in the DE solution?
2026-03-25 13:51:01.1774446661
Confused about differential equation solution
275 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ORDINARY-DIFFERENTIAL-EQUATIONS
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