In your answers below, for the variable > type the word lambda; for the derivativeX(x) type X'; for the double derivative Separate variables in the following partial differential equation for u(x, t): x²ut-tut-x²u = 0 (T/(t^2T)) = = 1 DE for X(x): = 0 • DE for T(t): = 0 (Simplify your answers so that the highest derivative in each equation is positive.) X(x) type X"; etc.

Q: If y = then y' =? ln zln z 2+¹ # In x zln = ln x

A: What formula usd

Q: 2х - 3 y = 3x +4 The derivative is y'

A: Please refer the attached image for complete solution.

Q: If C(x)=x' + x°, evaluate the fourth derivative at x = 2. %3D

A: To find the fourth derivative of the function: C(x)=x5+x-3 at x=2

Q: read the following headline about COVID-19 vaccinations: "The vaccination slow down is slowing…

A: Headline about COVID-19 vaccinations is given as- "The vaccination slow down is slowing down.'' Now…

Q: If y=e2X, then the value of first derivative (y') is- 2e2x -2e2x e2x e-2x

A:

Q: 5. Find the derivative of y= x' +2x -1

A:

Q: d steps for each problem

A: Here we have to find the derivative of  1) f(x)=e-x2 2) f(x)=ln(x3-5)2 3) f(x)=lnex

Q: For f(æ) = e? + 0.39a? – 2 with æo - 4.9 and æ1 1.9 apply steps of the secant method to obtain 22 =…

A: The root of the function can be calculated using the secant method. The formula for the secant…

Q: Find the first derivative of 1 2 y -sin?

A: Explained below

Q: Just part 1C y=12^x plz show all work and do not simplify

A: