Unanswered Forum Posts

Determine the equation of rotation Y' and deflection Y at the
free end of a cantilever beam AB supporting a parabolic load ?
air parabolic is 2/3(L*q)
plz help me

Good day,

I got stuck finding the manual solution for this problem without relying to the solve function of Casio calculator

The original equation was

[(1+x)⁴⁰] -1 = (181205.95/3000)x

Then I tried using properties of logarithm and I simplified it to this equation:

[ln(181205.95/3000)]/40 = ln(1+x) - (1/40)[ln(x+3000/181205.95)]

0.102526 = ln(x+1) - 0.025ln(x+0.0165557)

Answer: x = 0.02

The given two-parameter family is a solution of the indicated differential equation on the
interval (−∞,∞). Determine whether a member of the family can be found that satisfies the
initial conditions.
y = c1e^x cos x + c2e^x sin x; y" − 2y' + 2y = 0,
i. y(0) = 1, y'(π) = 0
ii. y(0) = 1, y(π) = −1

A structural steel column with F_y = 250 MPa
having an unbraced length of 3m is to carry a total axial load of 1800 kN. Which of the following sections is most economical (lightest ) for the given loads. The comumn is hinged at both ends.
Section A: Area = 13,800mm² I_x= 293.63 x10⁶mm⁴I_y= 67.59 x 10⁶mm⁴
SectionB: Area = 11,550 mm² I_x=177.04 x 10⁶mm⁴I_y=39.14x 10⁶mm⁴

The problem2x5y'=y(3x to the 4+y squred =0

Help me with this please.

The topic is Additional Topics in Ordinary DE of the first order.

y(3x^3 -x +y)dx + x^2(1-x^2)dy =0

A spherical container of negligible thickness holding a hot fluid at 1400
and having
an outer diameter of 0.4 m is insulated with three layers of each 50 mm thick
insulation of k1 = 0.02: k2 = 0.06 and k3 = 0.16 W/mK. (Starting from inside). The
outside surface temperature is 300C. Determine (i) the heat loss, and (ii) Interface
temperatures of insulating layers.

need explaination plss..

find a general solution

dx/dy =[ -2x (csc 2y – 2x³ cos 2y)] / sec 2y