Thread: please help me because tomorrow I will have an exam:(

We found our midterm questions.Please help me to solve them.Thank you so much:

1)y.y'' + 3(y')^2=0 this is differential equation.find the solution.???


2)x'=q - 12 + 3x - x^3 q is a bifurcation point.Draw the bifurcation diagram

3)a)show that any linear 1st order dif. eq. can be writen as a total differential?
b)obtain 'that' total dif ?

thank you so much.....again

Originally Posted by berkanatci

We found our midterm questions.Please help me to solve them.Thank you so much:

1)y.y'' + 3(y')^2=0 this is differential equation.find the solution.???

You can write,

Assuming does not vanish on :
.
Thus,
.
That means,

Thus,

Thus,

Thus,
.
Now this is a basic equation which is seperable.

thank you so much man.maybe you will survive in my life....because it is exam question....thank you again