- #1
bergausstein
- 191
- 0
Find the general solution of The ff. D.E
1.$\displaystyle (2xy-y^2+y)dx+(3x^2-4xy+3x)dy=0$
2. $\displaystyle (x^2+y^2+1)dx+x(x-2y)dy=0$
i tried both of them using
$\displaystyle \frac{\dfrac{\partial M}{\partial y}-\dfrac{\partial N}{\partial x}}{N}$
and
$\displaystyle \frac{\dfrac{\partial N}{\partial x}-\dfrac{\partial M}{\partial y}}{M}$
but none of them is a function of just x or just y.
can you please help me how to go about solving this problem thanks!
1.$\displaystyle (2xy-y^2+y)dx+(3x^2-4xy+3x)dy=0$
2. $\displaystyle (x^2+y^2+1)dx+x(x-2y)dy=0$
i tried both of them using
$\displaystyle \frac{\dfrac{\partial M}{\partial y}-\dfrac{\partial N}{\partial x}}{N}$
and
$\displaystyle \frac{\dfrac{\partial N}{\partial x}-\dfrac{\partial M}{\partial y}}{M}$
but none of them is a function of just x or just y.
can you please help me how to go about solving this problem thanks!