i want to solve the following example to mthematica but i can't to resove it .Can you helpme to do it in wolfram mathematica?The second question RICCATI TRANSFORMATION IN RED COLOR. fink you for your help. I'm waiting the answer.
ok
It is a replacement rule. You apply it to a differential equation whose unknown function is y.
y
Yours looks like homework. You cannot ask people to do it all for you.
i find this result y -> Function[{t}, ,Exp^-integral(0 to 1) [\etha][K[1]] dK[1]+Integral(from 1 to t)[\etha][K[1]] dK[1]]
Fink you i try to do it in mathematica now
This is one way of making the transformation:
logarithmicDerivativeTransformation = y -> DSolveValue[{\[Eta][t] == y'[t]/y[t], y[0] == 1}, y, t]
