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?

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- If tan (3x) = 5 tan (x), what is the value of sin (x)?
- Round off 314.587321 into four significant figures
- Minimum amount of money that must be spent before three gumballs of the same color are dispense
- Calculate 0.5 + 0.5^2 + 0.5^3 + ... + 0.5^20
- In tossing a coin, what is the probability of getting three consecutive heads or tails
- Solve for x: 1/x + 1/(x + 2) = 1
- Angle of Elevation
- Maximum possible volume, given1200cm^2 of material, square base and open top
- What number x is greater than x^n?
- Stuck finding out the manual solution for finding x in this logarithmic equation

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. ☺