Differential Equations which of the following are linear ode

Differential Equations

which of the following are linear odes

a) (1-4xy^2)dy/dx=y^3

b) xy\'-3y=x^3

c) (y\')^3+xy^3=x

Solution

a) (1-4xy^2)dy/dx=y^3

=> dy/dx = y^3 / (1 - 4xy^2)

=> Non-linear

b) xy\'-3y=x^3

=> y\' - 3y/x = x^2

=> Linear

c) (y\')^3+xy^3=x

=> Non-linear

Differential Equations which of the following are linear odes a) (1-4xy^2)dy/dx=y^3 b) xy\'-3y=x^3 c) (y\')^3+xy^3=xSolutiona) (1-4xy^2)dy/dx=y^3 => dy/dx =

Get Help Now

Submit a Take Down Notice

Tutor
Tutor: Dr Jack
Most rated tutor on our site