Question

In: Math

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 help in solving these. Thank you!

Solutions

Expert Solution

milcah answered 1 year ago
Next > < Previous

Related Solutions

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...
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
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 4: Homogeneous Second Order Differential equation Solve the following equation for the particular solution. i....
Question 4: Homogeneous Second Order Differential equation Solve the following equation for the particular solution. i. 2?′′ + 5?′ + 3? = 0; ?(0)=3, ?′(0)=−4 ii. 4 (?2?/??2) + 8 (??/??) + 3y = 0 ?(0)=1, ?′(0)=2 iii. ?′′ + 6?′ + 13? = 0; ?(0)=2, ?′(0)=1
Show the differential equation is not exact and by finding an appropriate integrating factor solve the...
Show the differential equation is not exact and by finding an appropriate integrating factor solve the given initial problem. (yx+y^2+ y) dx + (x+2y) dy =0
Hello, I have a question about the heat equation with Non-homogeneous Boundary Conditions in Differential Equations....
Hello, I have a question about the heat equation with Non-homogeneous Boundary Conditions in Differential Equations. u_t = 4u_xx u(0, t) = 2 u_x(3, t) = 0 u(x, 0) = x. If available, could you explain the solution in detail? Thank you.
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
Differential equation
Solve the differential equation with details explaination : x²y" + 6xy' - 24y=x^9
Differential equation
Find y(0.5) for y′=-2x-y, x0=0,y0=-1, with step length 0.1 using Euler method (1st order derivative)
Differential Equation.
The differential equation representing the family of ellipse having foci either on the x axis or on the y axis centre at the origin and passing through the point (0, 3) is
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT