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y=2xp+x^2p^4

‪@MathsPulseChinnaiahKalpana‬ #solvablefory Hello, Everyone! Here is a video of differential equation problem. We will be finding the general solution of the given equation using 'Solvable for y' method. Have a little patience and watch the video till end. My hearty thanks to all the subscribers, viewers, supporters and well-wishers❤ With Love, Chinnaiah Kalpana🍁 Note: Types of solution: A solution or integral of a differential equation is a relation between the variables which satisfies the given differential equation. The solution can be classified as follows, 1. General or complete solution 2. Particular solution 3. Singular solution -The GENERAL SOLUTION of a differential equation is that in which the number of arbitrary constants is equal to the order of the differential equation. -A PARTICULAR SOLUTION is that which can be obtained from the general solution by giving particular values to the arbitrary constants. -If no arbitrary constants occur in the solution of the differential equation called as SINGULAR SOLUTION and it cannot be obtained from general solution by giving particular values to the arbitrary constant. Equations solvable for y: Equation that comes under this category, can be expressed in the for y=g(x,p) -(1) Differentiating (1) w.r.t.x, we get dy/dx=p=f(x,p,dp/dx) which is a differential equation of the first order containing x and p. Let us suppose that its solution is Φ(x,p,c)=0 -(2) Then, the solution is obtained by eliminating p between y=g(x,p) and Φ(x,p,c)=0. However, if eliminating of p is difficult to express x and y as a function of the parameter p. Singular solution: A solution is called the singular solution of the differential equation f(x,y,y')=0 if it cannot be obtained from the general solution for any choice of arbitrary constant c, including infinity, and for which the initial value problem has failed to have a unique solution. For more such videos👇    • Solvable for y   Stay tuned to 'Maths Pulse'. Get rid of 'Maths Phobia'. Have a happy learning! #solvablefory #differentialequations #mathspulse #chinnaiahkalpana #engineeringmaths #bscmathssolvablefory #engineeringmathematics #solvableforyproblems #solvableforyexamples #problemsonsolvablefory #examplesonsolvablefory #math #maths #mathematics