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310/1000 | Prove: Partial Differential Equation of y = f(x+at) + g(x-at)

310/1000 | Prove: Partial Differential Equation of y = f(x+at) + g(x-at)
Timestamps:
00:00 If y = f(x+at) + g(x-at) then show that.....
01:00 Partial Differentiation of y with respect to x taking t as a constant
02:10 Partial Differentiation of y with respect to t taking x as a constant
03:20 Substitution
03:30 Hence PROVE
_Description_
In this video, we'll prove a partial differential equation involving the function y = f(x+at) + g(x-at). We'll find the partial derivatives of y with respect to x and t, and then use substitution to prove the given statement.

_Hashtags_
#PartialDifferentialEquations #Calculus #Mathematics #MultivariableCalculus #Proof

_Keywords_
partial differential equations, calculus, mathematics, multivariable calculus, proof, partial derivatives, substitution method.

Видео 310/1000 | Prove: Partial Differential Equation of y = f(x+at) + g(x-at) канала GAURAV Kumawat (Gk)
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