- Thread starter
- #1

#### karush

##### Well-known member

- Jan 31, 2012

- 3,241

2000

$\displaystyle

x^2\frac{d^2y}{dx^2}+x\frac{dy}{dx}+2y=\sin(x)

$

I probably am not advanced enough to understand this but thot I would take a shot at it

the order of this is

but I didn't see why this is a linear equation..

The book defines this "The differential equation

$\displaystyle F\left(x,y',y''........y^n\right)=0$

is said to be linear if \(\displaystyle F\) is a linear function of the variables \(\displaystyle x,y',y''........y^n\)

thanks for any help on this....

$\displaystyle

x^2\frac{d^2y}{dx^2}+x\frac{dy}{dx}+2y=\sin(x)

$

I probably am not advanced enough to understand this but thot I would take a shot at it

the order of this is

*due to the order of the highest derivative that appears.***second**but I didn't see why this is a linear equation..

The book defines this "The differential equation

$\displaystyle F\left(x,y',y''........y^n\right)=0$

is said to be linear if \(\displaystyle F\) is a linear function of the variables \(\displaystyle x,y',y''........y^n\)

thanks for any help on this....

Last edited: