Thursday

August 21, 2014

August 21, 2014

Posted by **Jake** on Monday, February 28, 2011 at 2:58am.

dy/dx= (x^2+y^2)/(2xy)

I know how to solve this type of problem, but I am struggling getting all of the x's and y's on different sides of the equation. Thank you for your help.

- Calculus AB -
**MathMate**, Monday, February 28, 2011 at 8:53amNote that the right-hand side is homogeneous (i.e. the total of exponents of x and y equals 2 for all terms), so a substitution of u=y/x will render the equation separable.

u=y/x

udx+xdu=dy

dy/dx = u+x*du/dx

...

Post if you have difficulties.

**Related Questions**

Pre calculus - How do I solve this exponent problem? I understand the exponent ...

Calculus - Solve the differential equation dy/dx = -xe^y and determine the ...

calculus - is y = x^3 a solution to the differential equation xy'-3y=0?? how do ...

Algebra, Solving equations - I'm stuck with this equation: y = (4x-1)/(2x+3) We'...

maths-urgently needed[Differential equations] - solve- dy/dx = 2xy + (y^2/x^2)

maths-urgently needed[Differential equations] - solve- dy/dx = 2xy + (y^2/x^2)

Math- Algebra - hi wat method would i use and how would i solve this system of ...

Calculus 2 - Solve the differential equation: dy/dx = y^2 + y

CALCULUS - Solve the differential equation: dy/dx = x (y^(1/3))

calculus - F''(x)=x^-3/2 f'(4)=1 f(0)=0 how do I solve this differential ...