(x^2-y^2 -zy)p +(x^2-y^2-zx)q =z(x-y)
Fourier cosine integral of f(x) is
cos Ax ff(t)sina tdt da 0
d cos 2x ff(t) cos at dt da
B) cosax ff(t)sintdtdx
D) 25 fcos Ax f f(t)cos At dt da
(d^2 y)/〖dx〗^2 +2 dy/dx+5y=34cos2x
6n + 4 = 16, find the value of 5n - 7
A rectangular steel sheet is bounded by the axis x = 0, y = 0, x = a and y = b. The temperature along the edge x = 0 are kept at 100°C and other edges are at 0°C. Let u(x,y) denote the temperature satisfying the equation  + d^2u/dx^2 + d^2u/dy^2 = 0 Find the steady state temperature u(x, y), by assuming the solution to be of the form u(x, y) = (AePX + Be-px)(C cospy + D sin py).
Let L1 be the line in R3 with equation (x,y,z)=(1,0,2)+t(−1,3,4); t∈R
and let L2 be the line that is parallel to L1 and contains the point (1, −1, 3). Let V be the plane that contains both the lines L1 and L2.
(a) Find two vectors that are both parallel to the plane V but are not parallel to one another.
(b) Find a vector that is perpendicular to the plane V .
(c) Find an equation for the plane V .
(d) Find an equation for the line L3 that is perpendicular to the plane V and contains the point (1, −1, 4) .
Hint: Find a parametric equation for L3. Don’t try to find a Cartesian equation for L3.
Given the function
𝑔(𝑥) = 𝑥 𝐽1 (𝑥) − 𝐴 𝐽0(𝑥) with 𝐴 = 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡 ≥ 0,
determine 𝑔′, 𝑔 ′′ and 𝑔′′′ . Reduce all expressions to functions of 𝐽0(𝑥), 𝐽1(𝑥) and 𝐴 only.