ODE uu x 0 Solution Function u2 x2 10 Verify that the fo

ODE: uu\' + x = 0 Solution Function: u^2 + x^2 = 10; Verify that the following function is a solution to the ODE

We have u^2 + x^2 = 10

=> u^2 = 10 - x^2

=> 2*u*(du/dx) = -2*x {taking differntiation w.r.t x on both sides} eqn 1

dividing eqn 1 by 2 and substituting u\' = du/dx, we get

u*u\' = -2*x

=>uu\' + 2x = 0 which is same as given ODE

Hence verified.

$ODE: uu\' + x = 0 Solution Function: u^2 + x^2 = 10; Verify that the following function is a solution to the ODESolutionWe have u^2 + x^2 = 10 => u^2 = 10 -$

ODE uu x 0 Solution Function u2 x2 10 Verify that the fo

Solution

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