RS Aggarwal Class 12 Solutions Chapter 20

RS Aggarwal Cass 12 Solutions Chapter 20 – Homogeneous Differential Equations

RS Aggarwal Class 12 Solutions Chapter 20 is important for class 12 students to know for their board exams and for any other exams they might take. In this chapter, students will learn about homogeneous differential equations of the first order and how to change one differential equation into a homogeneous equation. Students will also learn how to convert differential equations using different formulas and methods.

There are other ideas, like homogeneous functions with different formulas, that help students understand what this chapter is about. Students must know, for example, what a homogeneous differential equation is.

Homogeneous differential equations are linear equations whose functions and derivatives are not known. If f(x,y)dy = g(x,y)dx and f and g are homogeneous functions of the same degree of x and y, it is hard to solve them without substitution.

Highlights: of RS Aggarwal Class 12 Solutions Chapter 20

Homogeneous Differential Equation Solving Methods:

Add a new dependent variable, v=yx, to the equation. The new form of the differential equation is – x dv/dx + v = f(1)/v. Use the variables separation method to figure out how to solve this differential equation. To find the general Solution to the differential equation, put the statement you got for v back into y=vx. 

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