solve only C please 3.5 Use the differential volume dv to determine the volumes of the...
Solve the given integral equation or integro-differential equation for y(t). y'CL)+ 125 ſ <t-vy(v) dv=7! y(0)=0 0 y(t) = Enter your answer in the answer box.
Find:
1. Find (2x2 + y2) DV where Q = { (x,y,z) 0 < x <3, -2 <y <1, 152<2} ЛАЛ
7. Use the method of reduction of order to find a second solution of the differential equation xy" - y + 4x³y = 0, x > 0; y1(x) = sin x².
Compute the volume SSSx 1 dV where X is the solid defined by x2 + y2 < 4,0 Sz<10., A) 20 B) 407 C) 201 D) 801 ОА ОС OD OB Question 20 What is the absolute value of the Jacobian of : x = uv, y = u2 + v2 at the input point (u, v) = (2, 3)?
Differential Equations
Please use the LaPlace Transform method
USE LAPLACE TRANSFORM ME 7700 TO solve the following ... 2 ас 11 sint <0,05 (3) 3 -34 t e 3° +6° + 7, <0,05
dV, where is the unit ball in R3, that is, Use spherical coordinates to compute the integral We E = {(x, y, z)| 22 + y2 + 2 <1}.
1. Find (2.rº + y) DV where Q = { (z,y,z) | 0<<<3, -2<y<1, 1<2<2} 1 / 12
section is fourier series and first order differential
equations
0 Find the Fourier Coefficients a, for the periodic function f(x) = {: for-2<2<0 O for 0 < x < 2 f(x + 4) = f(x) Find the Fourier Coefficients bn for the periodic function 2 f(x) = -{ for -3 <3 <0 10 for 0 < x <3 f(x+6) = f(x) Determine the half range cosine series of 2 f(x) 0<<< f(x + 2) = f(x) dy Given that =...
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Find the point on the graph of z = -22 - y2 - ty that is the farthest above the plane 5x + 4y + z = -3 (use vertical distance, not overall distance). How far above the plane is that point? Select one: a. 12 b. 5 C. 3 d. 10 e. 7 If X and Y have joint density function 8xy if 0 < x <1, 0 < y...
1.
problem 2. and 3. as follows
Find the inverse Laplace transforms of the following function: 2w7 F(s) = s($2 + 2Cwns + wa) "US 25 (0<5<1) Solve the following differential equation: * + 2wni+wn?x=0, (0) = a, (0) = b where a and b are constants, and 0 << < 1. Solve the following differential equation: ö + 3 + 40 = 2 sint, x(0) = 0, 0) = 0