Please help me to solve next equations:
1.
.
Now this is a Bernoulli Equation, so make the substitution , so .
Therefore
.
Substituting into the DE gives:
.
This is now first order linear. So the integrating factor is .
Multiplying through by the integrating factor:
.
And since
.
Edit: Actually it looks like I've done something wrong... I'll keep checking...