Ansh Agrawal
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- Joined
- Dec 30, 2011
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- 1
(x+y)^2 dy/dx = a^2
(x+y)^2 dy/dx = a^2
(x+y)^2 dy/dx = a^2
The objective of an ordinary differential equation is to eliminate the derivative by integration and obtain an equation:
(x^2+2xy+y^2)dy=a^2dx
(2xy+y^2)dy =(a^2)dx/(x^2) <<<<< This step is not correct
(2y+y^2)dy =(a^2)dx/(x^3)
y^2+(y^3)/3+c1 =a^2(-1/2x^2)+c2
Subtract c1 from both sides
y^2+(y^3)/3=a^2(-1/2x^2)-c1+c2
Now solve for y and consolidate -c1 and c2 into a single constant c, like this: -c1+c2=c
You may want to check my steps. Good luck.
(x+y)^2 dy/dx = a^2
(x+y)^2 dy/dx = a^2