For these six numbers, e3, 3e, eπ, πe, 3π, π3, how to arrange them in the increasing order? This problem is taken from the today test: National Higher Education Entrance Examination.

Aug 14, 2015 · I tried to use integration by parts to do this and I let u =x3 u = x 3 and dv =exdx d v = e x d x. So I get

Dec 14, 2019 · but I end up cancelling the term C2e2x C 2 e 2 x. What particular solution do we have to propose?

Sep 9, 2024 · Can p′(x) − 2xp(x) =x3 p (x) 2 x p (x) = x 3? p p would have to be quadratic, leading coefficient −1 2 − 1 2. The linear term would have to be 0 0 (considering when you let x = 0 x = 0). …

Feb 3, 2016 · I have to evaluate the integral $\int_ {0}^ {\infty}t^3e^ {-3t}dt$ using complex analysis techniques (the laplace transform). Can you check my steps, please? $$\int_ {0}^ {\infty}t^3e^ {-3t}dt …

Apr 12, 2016 · I've gotten this far and I cannot proceed: L[y] = L [3e − xsin (x)] + 3 p2 + 2p + 5 = 3 ((p + 1)2 + 1) (p2 + 2p + 5) + 3 p2 + 2p + 5 I'm finding it impossible to find the inverse to solve for y. I …

Nov 7, 2021 · Find the general solution to $xy' = 2y + x^3e^x$ Ask Question Asked 4 years, 2 months ago Modified 4 years, 2 months ago

I'm struggling with a seemingly simple problem in differential equations. If the Wronskian W of f f and g g is 3e4t 3 e 4 t, and if f(t) =e2t f (t) = e 2 t, find g(t) g (t). So from that I made a first order linear …

Here is the part where I don't quite understand: $$ (4A-6A-4A)e^ {2t} = 3e^ {2t}$$ I know we are equating the RHS of the differential equation with the particular solution to solve for A, but I'm not …

Apr 8, 2016 · (Laplace Method) y′′ − 4y′ = 6e3t − 3e−t y ″ 4 y ′ = 6 e 3 t 3 e t Ask Question Asked 9 years, 9 months ago Modified 9 years, 6 months ago