renegade05
Full Member
- Joined
- Sep 10, 2010
- Messages
- 260
Alright, solving the following DE:
\(\displaystyle \frac{dy}{dx}= \frac{y}{x^2-x}\)
I got down to:
\(\displaystyle ln|y|=ln|x-1|-ln|x|+C\)
which can be written as:
\(\displaystyle |y|=C|\frac{x-1}{x}|\)
How can I solve for y explicitly ?
The full question is:
Find a DE for a function h with the property: tangent line to the curve at any point (x,) on the graph will pass through the point (x^2,2y). Solve the DE and express your final answer solved for y in simplified form. Find the curve that passes through (2,3).
I can solve the I.C., just need help with solving for y.
\(\displaystyle \frac{dy}{dx}= \frac{y}{x^2-x}\)
I got down to:
\(\displaystyle ln|y|=ln|x-1|-ln|x|+C\)
which can be written as:
\(\displaystyle |y|=C|\frac{x-1}{x}|\)
How can I solve for y explicitly ?
The full question is:
Find a DE for a function h with the property: tangent line to the curve at any point (x,) on the graph will pass through the point (x^2,2y). Solve the DE and express your final answer solved for y in simplified form. Find the curve that passes through (2,3).
I can solve the I.C., just need help with solving for y.