__Category__: Differential Equations

"Published in Newark, California, USA"
Find the general solution for
__Solution__:
Consider the given equation above
Express y' as dy/dx as follows
By separation of variables, transpose dx to the right side of the equation and y² to the left side of the equation as follows
Integrate on both sides of the equation, we have
Therefore, the general solution is
where B = 2C

__Category__: Differential Equations

"Published in Newark, California, USA"
Find the general solution for
__Solution__:
Consider the given equation above
Divide both sides of the equation by xy, we have
Integrate on both sides of the equation, we have
Take the inverse natural logarithm on both sides of the equation, we have
Therefore, the general solution is

__Category__: Differential Equations

"Published in Newark, California, USA"

Find the general solution for
__Solution__:
Consider the given equation above
Divide both sides of the equation by xy, we have
Integrate on both sides of the equation, we have
Take the inverse natural logarithm on both sides of the equation, we have

__Category__: Differential Equations

"Published in Newark, California, USA"
Find the general solution for
__Solution__:
Consider the given equation above
Divide both sides of the equation by y^{3}e^{x2}, we have
Integrate on both sides of the equation, we have
Therefore, the general solution is
where A = -2C