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 √a² - x² 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
Expand the given equation, we have
Integrate on both sides of the equation, we have
Since ln x and ln y cannot be integrated by simple integration, then we need to use the integration by parts as follows
Therefore, the general solution is
Category: Differential Equations
"Published in Newark, California, USA"
Find the general solution for
Solution:
Consider the given equation above
Expand the given equation and group according to their variables as follows
Divide both sides of the equation by αβ as follows
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
