Question

y=x^2c^x prove that y2-2y1+y=2c^x​

Answer 1

Step-by-step explanation:

Given y = ex(sinx + cosx), ⇒ dy/dx = ex(sin x + cos x) + ex(cosx – sinx) ⇒ dy/dx = 2excos x ⇒ d2y/dx2 = 2ex (cosx – sinx) Now, d2y/dx2 – 2dy/dx + 2y = 2ex(cosx – sinx) – 4excos x + 2ex(sinx + cosx) = 2ex(cosx – sinx – 2cosx + sinx + cos x) = 2ex (0) = 0.Read more on Sarthaks.com - https://www.sarthaks.com/536264/if-y-e-x-sin-x-cosx-prove-that-y2-2y1-2y-0