The problem involves solving a differential equation of the form y³(dy/dx) = (y⁴ + 1)cosx, which suggests a relationship between the variables y and x. The subject area is differential equations.
The discussion includes various attempts to approach the problem, with some participants offering guidance on separating variables and integrating. There is recognition of the complexity involved in the original poster's method, and a suggestion that it may not be suitable for this equation.
There is mention of the original poster's struggle with the algebra involved in their chosen method, as well as a reflection on the tendency to overlook basic techniques as knowledge expands.
You shouldn't. That method is for a linear (usually constant coefficient) DE.baouba said:Homework Statement
y3(dy/dx) = (y4 + 1)cosx
2. The attempt at a solution
I solved for the homogeneous equation which is y = Ce-sinx Where C is some constant
for the particular solution I tried Asinx + Bcosx where A and B are constants but when subbing in it's gets very messy.
How should I do this?