I need to determine whether the following function is linear/nonlinear and homogeneous/nonhomogeneous.
(u^2)' = -u
That's the derivative of u^2 btw. Please explain, don't just give the answer - i already know the answer is linear and homogeneous, but i don't understand how to reach this.
(u^2)' = -u
That's the derivative of u^2 btw. Please explain, don't just give the answer - i already know the answer is linear and homogeneous, but i don't understand how to reach this.
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Your DE is 2uu' - u = 0. It is non-linear since you have uu', the product of the dependent variable and its derivative.