Differential Equation Questions
Q.1 Solve the given differential equation subject to the indicated initial condition.
xy(1+xy^2)dy/dx = 1, y(1)=0
Q.2 Find the orthogonal trajectories of the following family of curves.
y^3+3x^2y=c1
Q.3 Determine whether the functions f1(x)=x, f2(x)=x ln x, f3(x) = x^2lnx are linearly independent or linearly dependent on (0,∞).
Comment on galactus's post
Q.1 comes from Bernoulli section...
And I can't type Q.3 in right way but it is in the same format that you have given. Looking for further help. Thanks.