1. (x^2 + 2xy - 4y^2) dx - ( x^2 - 8xy - 4 y^2)dy=0

2. y(9x-2y)dx-x(6x-y)dy=0; when: x=1; y=1/2

February 5, 2017 - 11:56pm

#1
Differential equation. how to solve?

SPONSORED LINKS

SPONSORED LINKS

- Integration issue
- Differential Equation: Application of D.E: Population Growth
- Differential Equation: Application of D.E: Exponential Decay
- Integration problem
- Differential Equation: Application of D.E: Mixing and Flow
- Differential Equation: Application of D.E: Newton's Law of Motion
- Need this badly today
- Centroid of Composite Area: Rectangle and Two Triangles
- Application of Differential Equation: Newton's Law of Cooling
- Integral Calculus: Integral of csc^3 cos^3 x dx

- Integration issue
- Integration problem
- Differential Equation: Application of D.E: Population Growth
- Differential Equation: Application of D.E: Exponential Decay
- Differential Equation: Application of D.E: Mixing and Flow
- Differential Equation: Application of D.E: Newton's Law of Motion
- Centroid of Composite Area: Rectangle and Two Triangles
- Integral Calculus: Integral of csc^3 cos^3 x dx
- Application of Differential Equation: Newton's Law of Cooling
- Need this badly today

both equation are homogeneous. You can use either of the following substitution:

dy = v dx + x dv

dx = v dy + y dv

The result would be separable equation which you can easily solve. And don't forget to revert back to original variables of x and y then apply boundary conditions as necessary.

thank you po. ☺