**Importance**

Differential equation is a small topic but has a much larger application in higher mathematics, hence having a topic of great importance. Lets glance over the type of questions asked in exams.

**Yearly trend**

There is surely one question in both JEE-Advanced and JEE-Mains from differential equations. And since the topic an easy one, grab the chance to take lead from others. Let us look over some ways of solving them.

**Topics**

The order of a D.E. is the highest ordered differetial appearing in D.E. and its degree is the highest order derivate provided.

Methods of solving D.E.:

1. Variable seperable: Move all variables of one same type on one side and the second on the other, and then integrate both the sides.

Homogeneous Equation(!!dy/dx=f(x,y)!!): Substitute y=kx and resolve further.

Substitution(!!dy/dx=f(ax+by)!!): Let ax+by=t

Then comes the most important and common L.D.E. i.e. Linear Differential Equation. If the equation is !!dy/dx+P(x)y=Q(x)!!, then its solution is given by

!!I.F. (y)=intQ(x).(I.F.)!! where Integrating factor(I.F.) is given by !!e^(intP(x)dx)!!.

The questions are mostly asked amongst this, hence studying just these few concepts can grab off full marks very easily. So don't miss the chance and let us have a practice on the same.