Category: Differential Equations, Integral Calculus
"Published in Newark, California, USA"
Find the general solution for
Solution:
Consider the given equation above
The
given equation is a 3rd Order Differential Equation because the third
derivative of y with respect to x is involved. We can rewrite given
equation as follows
Multiply both sides of the equation by dx, we have
Integrate on both sides of the equation, we have
Rewrite the above equation as follows
Multiply both sides of the equation by dx, we have
Integrate on both sides of the equation, we have
Multiply both sides of the equation by dx, we have
Integrate on both sides of the equation, we have
where B = ½ C1. Therefore, the general solution is
Category: Differential Equations, Integral Calculus
"Published in Newark, California, USA"
Find the general solution for
Solution:
Consider the given equation above
The given equation is a 2nd Order Differential Equation because the second derivative of y with respect to x is involved. We can rewrite given equation as follows
Multiply both sides of the equation by dx, we have
Integrate on both sides of the equation, we have
Multiply both sides of the equation by dx, we have
Integrate on both sides of the equation, we have
but
Hence, the above equation becomes
where B = C1 - 1.Therefore, the general solution is
Category: Differential Equations, Integral Calculus
"Published in Suisun City, California, USA"
Find the general solution for
Solution:
Consider the given equation above
The given equation can be written as
Arrange the above equation by separation of variables, we have
Integrate on both sides of the equation, we have
Therefore, the general solution is
You can also eliminate their fraction by multiplying both sides of the equation by their Least Common Denominator (LCD) which is 4 as follows
Note: A constant multiply by another constant or coefficient is still a constant.
