The velocity components in a two-dimensional flow field for an incompressible fluid are given by u = e² cosh y & v=-e sinh y. The equation of the streamlines for this flow is y = sinh(Ce), where C is a constant. y = sinh(Ce), where C is a constant. %3D y = sinh(Ce ), where C is a constant. O None of these.

Q: Differentiate.  g(t) = t cosect t - cot t

A: To differentiate:      g(t) = t cosect t - cot t We know that --> (cosec x)' = -(cosec x)(cot x)…

Q: Differentiate. (Assume c is a constant.) w3/2(w + ce") 3 z' = e" w W.

A:

Q: 2- 1- 3一寸

A:

Q: 2. WX = YZ. Find mWX. (3x + 2y X W (4x – 3) %

A: Here, the two chord are congruent. So, the corresponding arcs are also congruent.

Q: Find the derivative. p= secg+ csc q CSC q dp OA. = sec q+1 dq dp OB csc c cot c dq dp = sec dq dp…

A:

Q: Solue D.E dy + (y cotx Sina) de = o

A: Solving

Q: sech (x*) tanhl 12.

A: 12. Given integral is ∫sech3(x13) tan h(x13) x23dx Let us make substitution to simplify the above…

Q: d waves uniformly in all directions. At a distance of 15.0 m the intensity of the sound is 0.250 W

A: Given as, Distance= 15.0 m, intensity of the sound= 0.250 W/m2.

Q: Calculate for w = xyz. By

A:

Q: ди 0 0 con ax2 at u (0, t) u (π, t) - 0 u(x, 0) = x 0<x<n %3D

A: Solution

Q: Find the values of dz/dx and dz/dy at the given point

A:

Q: bn = s(t) sin(nw,t)dt %3D

A: Given :-  bn = ∫-T02T02 st sin nw0t dt

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

A:

Q: 4. Which equations are linear functions? xy = 16 2x - y = 0 x² + y² = 20 A. I only B. I and III 1 11…

A:

Q: Find dw/dx, dw/dy, and dw/dz. 47. w = ye sin xz %3D

A:

Q: tormade. be sepsesented Can 19 poles coode by the velacity レ + b.jo show that stieam line A=cest

A:

Q: find dy/dx in two ways.. a) by differentiating implicitly & b) by explicitly saying solving for y…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: charge Q  acts as a point charge to create an electric field.Its strength, measured a distance of…

A: From the given information,  Distance (r)=30cms =0.30m Strength (E)= 40N/C To find the magnitude of…

Q: 32. In the diagram, VW= 3, WX= 4, and VX= 8. Is WX tangent to OV? W b. yes a. no

A: We will use the property that radius is perpendicular to tangent line.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.