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 x² dx to the right side of the equation and ey to the left side of the equation, we have
Integrate on both sides of the equation, we have
Therefore, the general solution is
where G = - C.
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 y3e-x in order to separate dx and dy from other variables as follows
Integrate 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 cos² y in order to separate dx and dy from other variables as follows
Integrate on both sides of the equation, we have
Therefore, the general solution is
where F = 2C.
