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

Expert Solution

Colby Messinger answered 1 year ago

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) − (14y − x)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:...

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...

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.

Find the exact solution for e2x − ex − 110 = 0. If there is no solution, write no solution.

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

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...

Explain using complete sentences the advantages of providing an EXACT solution to a quadratic equation rather...

Explain using complete sentences the advantages of providing an EXACT solution to a quadratic equation rather than a decimal approximation.

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