Evaluate or solve the following
A) dy/dx=
-(2x2+y2)/(2xy+3y2)
B)dy/dx=(1+y2)/(1+x2)xy
C) (x2+1)dy/dx+2xy=4x2 given that when
x=3,y=4
Already rated.Best chegg expert
Consider the vector field F(x, y) = <3 + 2xy, x2 − 3y 2>
(b) Evaluate integral (subscript c) F · dr, where C is the curve
(e^t sin t, e^t cost) for 0 ≤ t ≤ π.
Solve the following differential equations.
i) y'''-6y''+10y'=0
ii) dy/dx= x2/(1+y2) with y(1)=3
iii) (x2-2y)y'+2x+2xy=0
iv) Use substitution to solve t2y'+2ty=y5
for t>0
Let F= (x2 +
y + 2 + z2) i + (exp(
x2 ) + y2)
j + (3 + x) k . Let a
> 0 and let S be part of the spherical
surface x2 + y2 +
z2 = 2az + 15a2
that is above the x-y plane and the disk formed in the
x-y plane by the circular intersection between the sphere
and the plane. Find the flux of F outward across
S.
a, evaluate the definite integral: 2 to 3 x2/square
root of x3-7 dx
b, Determine the indefnite integral :
12x5-5x/x2 dx
c, Evaluate the integral : 10x sin (2x+3) dx
d, Evaluate the integral: 1/x2 square root of
36-x2 dx