Cauchy-Euler Differential Equations (2nd Order)
Cauchy Problem Calculator - ODE Along with solving ordinary differential equations, this calculator will help you find a step-by-step solution to the Cauchy problem, that is, with given
Solving the first: R r r + 1 r R r − k 2 r 2 R = 0, s e t R = y ( x) y ″ + 1 x y ′ − k 2 x 2 y = 0, t r i a l s o l u t i o n: y = x r r ( r − 1) x r − 2 + r x r − 2 − k 2 x r − 2 = 0 r = ± k. The solutions for
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) = xrbe 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 simpli See more