Category: Differential Equations
"Published in Newark, California, USA"
Find the particular solution for
in which y = 6 when x = 0.
Solution:
Consider the given equation above
In order to separate dx and dy from other variables, divide both sides of the equation by (y - 2) cot x as follows
Integrate both sides of the equation, we have
Take the inverse natural logarithm on both sides of the equation, we have
Substitute the value of x and y in order to get the value of C as follows
Therefore, the particular solution is
Category: Differential Equations
"Published in Newark, California, USA"
Find the particular solution for
in which y = 2 when x = 5.
Solution:
Consider the given equation above
Since dx and dy have the same variables, then we can integrate both sides of the equation as follows
Substitute the value of x and y in order to get the value of C as follows
Therefore, the particular solution is
Category: Differential Equations
"Published in Vacaville, California, USA"
Find the general solution for
Solution:
Consider the given equation above
In order to separate dx and dy from other variables, divide both sides of the equation by ex•ey as follows
Integrate both sides of the equation, we have
Therefore, the general solution is
