- #1
RiceKernel
- 17
- 0
Hi , I have no problem to solve but just a bit of confusion on what determines the linearity of an ODE.
Let's say the equation is (1 x^2) dy/dx + y = 0
Is it linear ? I would incline to say yes because the dependent variable and its derivatives are not in a product with each other but the square on the x makes me doubt the linearity or does it not matter at all? If it was (1-y^2), it wouldn't be linear because the coefficient has the dependent variable in it.
Thanks ,
GT
Let's say the equation is (1 x^2) dy/dx + y = 0
Is it linear ? I would incline to say yes because the dependent variable and its derivatives are not in a product with each other but the square on the x makes me doubt the linearity or does it not matter at all? If it was (1-y^2), it wouldn't be linear because the coefficient has the dependent variable in it.
Thanks ,
GT