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
