General solution Definition and 303 Threads

I really don't understand the concept of differential equations! I'm confused about how you would go about solving them. if (x^2).dy/dx = y^2, integral(y^2)dy = integral(x^2) 1/3y^3 = 1/3x^3 + A ^ What have I done wrong here? I don't get the whole thing where you separate the...

Hello, I'm having troubles finding the general solution to the following differential equation: [x + 1]dy - [x^2 - y - 1]dx = 0 Any help would be great, Cheers.

In my mechanics textbook is given an exemple of how to find the general solution of the of the equation of motion for a force -kx (the simple harmonic oscillator problem). He begin his analysis and finds that e^(iwt) and e^(-iwt) are both solutions. Hence C1*e^(iwt) and C2*e^(-iwt) are also...