Category: Differential Equations
"Published in Vacaville, California, USA"
Find the general solution for
Solution:
Consider the given equation above
By separation of variables, transpose y to the right side of the equation and (4 + e2x) 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
Therefore, the general solution is
where E = C²
Category: Differential Equations
"Published in Vacaville, California, USA"
Find the general solution for
Solution:
Consider the given equation above
By separation of variables, transpose dP to the right side of the equation and V 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
Therefore, the general solution is
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
