Category: Differential Equations
"Published in Newark, California, USA"
Find the particular solution for
when x = 2; y = 1.
Solution:
Consider the given equation above
By
separation of variables, transfer y to the right side of the
equation and x to the left side of the equation as follows
Integrate on both sides of the equation, we have
Take the inverse natural logarithm on both sides of the equation, we have
Substitute the values of x and y in order to solve for C as follows
Therefore, the particular solution is
Category: Differential Equations
"Published in Newark, California, USA"
Find the particular solution for
when x = 2; y = 3.
Solution:
Consider the given equation above
Express y' as dy/dx as follows
By
separation of variables, transfer x and dx to the right side of the
equation and 1 + y² to the left side of the equation as follows
Integrate on both sides of the equation, we have
Take the inverse natural logarithm on both sides of the equation, we have
Substitute the values of x and y in order to solve for C as follows
Therefore, the particular solution is
