Question: Solve exact differential equations : a) (5x+4y) dx + ( 4x -8 y)dy =0 b) (5y-2x) y' -2y = 0 c) (2 y +

Solve exact differential equations : a) (5x+4y) dx + ( 4x -8

Solve exact differential equations : a) (5x+4y) dx + ( 4x -8 y)dy =0 b) (5y-2x) y' -2y = 0 c) (2 y + 3x) dx+ 2xy dy = 0 = 5x + 4xy-2 y Ans: c=- -2xy + 512 2 Ans: c= -2xy + Ans: xy + x = c

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The detailed ... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

1. A flexible loop of wire lies in a uniform magnetic field of magnitude B directed into the plane of the picture. The loop is pulled as shown, reducing its area. The induced current flows A....

4x 5y + 3 = 2x 2y 3 Determine the slope and the y-intercept. Use the slope and the y-intercept to graph the equation by hand.

8 2x 2 = 3x + x

Around Australia in 2022, the price of lettuce increased dramatically from around $2-$3 to as much as $12 per lettuce Do some research into the events of 2022 to examine what might have caused such...

7. Solve the separable ODE [5] dy 1= xy + 2y + 2+ 2. A. In ly + 21 = x2/2 + x. B. In|x + 2) = y?/2 + y + C, where C is an arbitrary constant. C. In ly + 2) = x2/2 + x + C, where C is an arbitrary...

Find a set of solutions to the following differential equations . 1. ( xy + 1) dx + x y? dy. = 0 2. y ( 2xy + 1 ) dx - xdy = 0 3. xy + Csc (xy) + xy' = 0 4. y ( x2y2 - 1 ) dx + x ( x2yz + 1 ) dy = 0...

Our topics is Homogeneous Diff. Eq. and Exact Diff Eq. FIND THE SOLUTION ON THE GIVEN DIFFERENTIAL EQUATIONS: 1. (xy + y? - x2 ) dx + x2 dy = 0 2. (4x3 + ylexy ) dx + (2xy3exy= - 3y?) dy =0 3. (x +...

Question within image 4) Which of the following equations are exact? Show any work. a) (3x2 + 2y? ) dx + ( 2x2 y + 4y2 ) dy = 0 b) ( x2 + y2 - y )dx + xdy = 0 dy c) (4x - y) + ( 6y -x) = 0 dx d) (2x...

Question 4 2 pts When simplified, which of the following is NOT the implicit derivative of the equation 3y" + 3xy + 4x = 0 ? a. -4-3y 3x+9y2 b. -3y+4 9y2+3x 4+3y C. 3x+9y2 d. 3y+4 9y2+3x Ob OC O d...

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;...

You are an officer of the Hong Kong Leisure and Cultural Services Department. To improve the quality and durability of the turf and to optimize the booking system for sports venues. The physical...

Solve It dy dx 1. 2- 4y, y(1) 1. = 2 2. y' + 3xy x. 3. (y + x)dy = (y x)dx. 1 4. xy + y = 72. y 5. y 2 + y 2x +3. d'y dy + dr dx 6. 4- SAM 0. 77

protecting the end-of-life wishes for Veterans across the entire country. How to launched a process improvement initiative, disabled the flawed system, and alerted other VA sites. . please give...

Use source transformation to find Io in the circuit shown 12 Io 2mA

Use source transformation to solve problem 13.19.

A common application of control systems is in regulating the temperature of a chemical process (Figure P6.13). The flow of a chemical reactant to a process is controlled by an actuator and valve. The...

Function: tst_name Parameter: A string. Returns: true if the given string has the form string1, string2 letter where both strings must be all lowercase letters except for the first letter and letter...

Write external documentation for the large software project that we have been considering throughout this book.

According to the census in 2018, in a population of 234,436 in a small city, 124,568 were males and the rest were females. It was noted that in 2020, when another census was conducted (for some...

A thermometer is taken from an inside room to the outside, where the air temperature is 5 F. After 1 minute the thermometer reads 55 F, and after 5 minutes it reads 30 F. What is the initial...

Compute y' and y'' and then combine these derivatives with y as a linear second-order differential equation that is free of the symbols c 1 and c 2 and has the form F(y, y' y'') = 0. The symbols c 1...

Find the general solution of the given differential equation. Give the largest interval I over which the general solution is defined. Determine whether there are any transient terms in the general...

Use the currency exchange rates in Table 3.2 to calculate the equivalent amounts of currencies.

The price of a 40-ounce bottle of rum at a U.S. border duty-free store was US$24.95. At the same time, the price of a 750-mL bottle of similar quality rum in an Ontario LCBO store was C$26.95. Using...

If pork chops cost US$3.99 per pound in the United States and C$9.49 per kilogram in Canada, in which country are the chops more expensive? How much more expensive are they in C$ per kg? (1 kg = 2.2...