H2 Maths 5.5 - Differential Equations: Separable ODEs

What you will learn

• Solve dy/dx = x(y - 1) with y(0) = 3 by separating the variables.
• Separate to (1 / (y - 1)) dy = x dx; integrate to ln|y - 1| = x^2 / 2 + c.
• Exponentiate and absorb the sign: y = 1 + A e^(x^2 / 2) for any non-zero real A.