Question

In: Advanced Math

Determine whether the equation is exact. If it is exact, FIND THE SOLUTION. If not write...

Determine whether the equation is exact. If it is exact, FIND THE SOLUTION. If not write NOT EXACT.

A) (y/x + 12x) + (lnx - 3)y' = 0 x>0

Solve the given initial value problem.

B)  (12x2 + y − 1) − (14yx)y' = 0,    y(1) = 0

y(x) =

Determine at least approximately where the solution is valid. (Enter your answer as an inequality for which the solution is valid when true.)

The solution is valid as long as: _________

C) Find the value of b for which the given equation is exact.

(ye9xy + x) + bxe9xyy' = 0

b =


Solve it using that value of b: ______

.

Solutions

Expert Solution

I HOPE THIS ANSWER WILL BE HELPFUL TO YOU

PLEASE LIKE THIS ANSWER

THANK YOU.


Related Solutions

Determine whether the equation is exact. If it is exact, find the solution. If it is...
Determine whether the equation is exact. If it is exact, find the solution. If it is not, enter NS. (8x^2−2xy+5)dx+(8y^2−x^2+8)dy=0
a) Determine whether the given differential equation is exact. If it is exact, solve it. (If...
a) Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT.) (2xy2 − 5) dx + (2x2y + 4) dy = 0 b) Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate integrating factor. (6 − 20y + e−5x) dx − 4 dy = 0
Determine whether the given differential equation is exact. If it is exact, solve it. i) (x...
Determine whether the given differential equation is exact. If it is exact, solve it. i) (x 3 + y 3 )dx + 3xy2 dy = 0, Ans. x 4 + 4y 3x = C ii) (y ln y − e −xy) + (1 y + x ln y) dy dx = 0, Ans. not exact iii) (e −x sin y − 3)dx − (3x 2 − e x sin(2y))dy = 0, Ans. not exact iv) (xy − 1)dx + (x...
Find the exact solution for e2x − ex − 110 = 0. If there is no solution, write no solution.
Find the exact solution for e2x − ex − 110 = 0. If there is no solution, write no solution.
cosxdx + [7+(2/y)]sinxdy = 0 Find if the equation is exact. If it is exact, solve....
cosxdx + [7+(2/y)]sinxdy = 0 Find if the equation is exact. If it is exact, solve. If it is not exact, find an integrating factor to make it exact, verify that it is exact and solve it.
1- Find the solution of the following equations. For each equation, 2- determine the type of...
1- Find the solution of the following equations. For each equation, 2- determine the type of the category that the equation belongs to. Separable equation, Homogenous equation, Linear equation, or Bernolli equation? 1. ydx − x ln xdy = 0 2. y ′ = (1+y^2) / (xy(1+x2)) 3. xy′ + (1 + y^2 ) tan^−1 y = 0 4. y ′ = (y) / (x+ √xy) 5. y ′ = (y−x) / (y+x) 6. tan x dy/dx + y =...
Find the general solution of the given differential equation, and use it to determine how solutions...
Find the general solution of the given differential equation, and use it to determine how solutions behave as t→∞. 9y′+y=5t2
Check that the following differential equation is not exact. Find an integrating factor that makes it...
Check that the following differential equation is not exact. Find an integrating factor that makes it exact and solve it. ydx + (3 + 3x-y) dy = 0 __ Solve the initial value problem: (cos xsen x-xy ^ 2) dx + (1-x ^ 2) ydy = 0 if y (0) = 2 __ Solve the initial value problem: y ^ (2) cosx dx + (4 + 5ysenx) dy = 0; y (π / 2) = 1
(i) Write down the wave equation and find the general solution for longitudinal vibration of a...
(i) Write down the wave equation and find the general solution for longitudinal vibration of a beam using the method of separation of variable separation. (ii) Find three lowest natural frequencies of longitudinal vibration of 1.5m beam with free-free boundary conditions at the ends. The modules of elasticity is 200e^9 N/m and density 7500 kg/m3.
Question 3: Exact Differential Equation i. Test to see if the following equation is exact, if...
Question 3: Exact Differential Equation i. Test to see if the following equation is exact, if exact solve for the general solution (??/??) +(2? ????+?^3?^?)/(?^2cos?+3?^2?^?)=0 ii. Solve (?+????)??+(?????−2?)??=0 iii. Solve (?^2+?)??+(?^?−?)??=0 iv. (2?−3?)??+(2?−3?)??=0 I am sorry I could not send a photo. Whenever I try from the app it posts another question on the same page. I tried doing them individually and the only thing that happened was that the same question got posted 4 times. I would appreciate your...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT