Ghosh Maity Cauchy Euler Linear Equations | Differential Equation Solved by DR Colleger ❤️

Ghosh Maity Cauchy Euler Linear Equations | Differential Equation Solved by ‪@drcolleger‬ Next Part: https://youtube.com/live/QTMCR9IkhnE Full Playlist:    • Ordinary Diff Equation   Q17:    • Cauchy Euler Homogeneous Linear Equations ...   How to Solve the Cauchy-Euler Differential Equation? Go through the steps given below to understand the method of solving the second order Cauchy-Euler differential equation. Step 1: Let us assume that y = y(x) = xr be the solution of a given differentiation equation, where r is a constant to be determined. Step 2: Fill the above formula for y in the differential equation and simplify. That means replace y with xr. Step 3: Solve the obtained polynomial equation for r. Step 4: For each obtained value of r, xr is a solution to the actual Euler equation. If there is only one value for r, then y1(x) = xr is one solution to the differential equation, and we can reach the general solution by reducing order. If there are two different real values for r, i.e., r1 and r2, then xr1, xr2 will be the fundamental set of solutions, whereas the general solution to the differential equation is y(x) = c1xr1 + c2xr2. Your Quarry: Differential equation,differential equations ghosh maity solutions by dr colleger,linear,cauchy euler differential equations engineering mathematics,cauchy euler homogeneous linear differential equation,dr colleger,ordinary differential equations of higher order engineering mathematics,bsc mathematics,differential equation expert,ordinary differential equation of higher order,ordinary differential equations,complementary function,particular integral #drcolleger #differentialequation #lineardifferentialequation #cfandpi #complementaryfunction #particularintegral #bengalishorts