Question: Solve the following exact equations, implicit general solutions will suffice: (2xy +x 2 ) dx +(x 2 +y 2 +1) dy = 0

Solve the following exact equations, implicit general solutions will suffice:

(2xy +x 2 ) dx +(x 2 +y 2 +1) dy = 0

Step by Step Solution

★★★★★

3.39 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To solve the given exact differential equation 2xy x2dx x2 y2 1dy 0 we need to check if the equation ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (2 attachments)

PDF file Icon

6090157e77090_21478.pdf

180 KBs PDF File

Word file Icon

6090157e77090_21478.docx

120 KBs Word File

Students Have Also Explored These Related Mathematics Questions!

Q:

Solve y" + y = 1 - t 2 / 2 ? if 0

Q:

Solve each system of equations by letting X = 1 /x, Y = 1/y, and Z = 1/z. (a) (b) 12 _ 12 y 4 3 y 3 4 4 10 3 13 -8 2 ||

Q:

Solve the following equations for x to five-figure accuracy 2x a. 1 +0.13 +41 +0.13 X 365 $831 ) 1 0.13 x20.13 x 59 $831 b. 3x(1.035) +++-$2500 1.033

Q:

PROBLEM SET B: Determine whether the given function is a solution to the given differential equations. 6. y = sinx + x , dy _ ty = x +2 dx 7. x = 2 cos cost - 3 sin sint , x + x =0 3t 2t d'e 2t 8. 0...

Q:

please help me solving these questions Functions 1. Solve following equations, explain your solutions. a) (x - 1) (x + 2) =0 b) (x - 1) (x + 2) = -2 c) cos(x) = 2. Solve following inequalities,...

Q:

3 different homogenous equations, if you can provide steps so I can compare and see where I went wrong I would appreciate it. Solve the following homogeneous equations : Solve the following...

Q:

The topic is only Exact Differential Equations. SOLVE THE FOLLOWING EXACT DIFFERENTIAL EQUATIONS 1. (ex + Iny + - X dx + (#+ Inx + siny) dy = 0 2. 3y(x3 + 1) dx + (x3 + 8y - 3x) dy = 0 3. (2xy -...

Q:

Find a set of solutions to the following differential equations . 1. (x - y ) ( 4x + y ) dx + x( 5x - y ) dy =0 2. ( x - ylny +yinx ) dx + x( Iny - Inx ) dy =0 3. ( x - y ) dx + ( 3x + y ) dy =0;...

Q:

Find a set of solutions to the following differential equations . 1. (x - y ) ( 4x + y ) dx + x( 5x - y ) dy =0 2. ( x - ylny +yinx ) dx + x( Iny - Inx ) dy =0 3. ( x - y ) dx + ( 3x + y ) dy =0;...

Q:

1 The below table shows a machine-part matrix. Part No. 1 2 3 4 5 1 1 1 1 2 1 1 Machine 3 1 1 1 4 1 1 1 1 1.1 Use direct clustering algorithm to form cells for the above machine-part matrix. 1.2...

Q:

12.53 Survey Accuracy. A sample survey contacted an SRS of 2220 registered voters shortly before the 2016 presidential election and asked respondents whom they planned to vote for. Election results...

Q:

Process planning and facilities management layouts are an important part of production management. The three basic layouts are: process layout, product layout, and fixed-position layout. What factors...

Q:

Whenever a loan has the potential for negative amortization, the loan must contain a balance CAP and a Battoon component Recast point Conversion option Relinance guarantee

Q:

Approximately 40% of the Wisconsin population have type O blood. If 4 persons are selected at random to be donors, find P[at least one type O].

Q:

Of 20 rats in a cage, 12 are males and 9 are infected with a virus that causes hemorrhagic fever. Of the 12 male rats, 7 are infected with the virus. One rat is randomly selected from the cage. (a)...

Q:

Suppose P(A) = .6 and P(B) = .22. (a) Determine P(A U B) if A and B are independent. (b) Determine P(A U B) if A and B are mutually exclusive. (c) Find P(A| ) if A and B are mutually exclusive.

Q:

An urn contains two green balls and three red balls. Suppose two balls will be drawn at random one after another and without replacement (i.e., the first ball drawn is not returned to the urn before...

Q:

For two events A and B, the following probabilities are given. P(A) = A P(B) = .25 P(A|B) = .7 Use the appropriate laws of probability to calculate (a) P() (b) P(AB) (c) P(A U B)

Q:

Effective communicators are also capable of observing and Blank______ nonverbal communications. mimicking following interpreting ignoring

Q:

Solve the following exact equations, implicit general solutions will suffice: b) (2x + y) dx + (x - 4y) dy = 0 d) (3x + 3y) dx + (3y + 3x) dy = 0 a) cos(x) + yexy + xexy y' = 0 c) e* + ey = 0

Q:

Critically assess the view that an understanding of the principles of 'scientific' decision-making is fundamental to the success of a modern economy. Examination questions and answer notes 335 2. (i)...

Q:

I. Foundations/Comprehension (No technology allowed, show all work!) 1. Solve the following differential equations, using the method of separation of variables (4 points each): a) y' = 1-xty-xy...

Q:

hi can you help me #1. Solve the following trigonometric equations for 0 5 x S 21!. Solutions should be exact and contain graphs where possible. a} (cosx)(2cosx J3) = 0 b} 3 c0521 + 85in]: = 7 c) sec...

Q:

hi can you help #1. Solve the following trigonometric equations for 0 5 x S 21!. Solutions should be exact and contain graphs where possible. a} (cosx)(2cosx J3) = 0 b} 3 c0521 + 85in]: = 7 c) sec...

Q:

5. Solve the following differential equations. If the differential equation is exact, show why you say it is exact. 5. R with q(0) = 0 (7) Total = 32