CBSE Class 12 Maths – Differential Equations

Order is the highest derivative occurring in the equation. Degree is the positive integer exponent of that highest derivative, provided the equation is polynomial in derivatives.

Write in standard form dy/dx + Py = Q. Compute the integrating factor IF = e^(∫ P dx). The solution is y(IF) = ∫ Q(IF) dx + C.

A differential equation dy/dx = F(x, y) where F(x, y) is a homogeneous function of degree 0, solved by the substitution y = vx.

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