# Y=c1x^2 + c2e^2x , i need to eliminate those arbitrary constants

Answers: 1

## Answers

Y=c1x^2 + c2e^2x , i need to eliminate those arbitrary constants...

Answers: 1

Y=c1x^2 + c2e^2x , i need to eliminate those arbitrary constants...

The equation is 3y' - 4xy' + 4xy - 2y - y" - xy" = 0

Step-by-step explanation:

To eliminate the arbitrary constants, derive the equation 2 times.

Deriving the equation

equation 1

equation 2

equation 3

Solving the equation

1. Use equation 1, then substitute to equation 2

equation 4

2. Use equation 2, then substitute to equation 3

equation 5

3. Solve for using equation 5, then substitute to equation 4

divide both side by 2(1-2x)

substitute to equation 4

cross-multiply

Get the product of both sides of the equation

Simplify by combining like terms

3y' - 4xy' + 4xy - 2y - y" - xy" = 0

Therefore the final answer is 3y' - 4xy' + 4xy - 2y - y" - xy" = 0

To learn more about arbitrary constants, just click on the following links:

Definition of an arbitrary constant#LetsStudy