Select all of the exact ODEs listed below. (3x3y2 + 3) dx + (2x3y – 2)...
number 5 please 1-14 ODES. INTEGRATING FACTORS Test for exactness. If exact, solve. If not, use an integrating factor as given or obtained by inspection or by the theorems in the text. Also, if an initial condition is given, find the corresponding particular solution. 1. 2xy dx + x2 dy = 0 2. xºdx + y°dy = 0 3. sin x cos y dx + cos x sin y dy = 0 4. €3°(dr + 3r de) = 0 5....
please determine which equations are exact and solve them. Exact Equation nice* (x + y + 2xy2 ) + 6x) dx +(2x+ye* +2 ) dy = 0 2) · (3x” cos xy - x® y sin xy + 4x )dx +(8y - x' sin xy) dy = 0
explain please 2. Which one of the following DE is exact? a. (x+y)dx+(xy+1) dy=0 b (e + y)<x+ſe+x)dy = 0 c.(ye* +1) dx +(e' + xy) dy = 0 d. (sin x+cos y) dx +(cos x +sin y) dy = 0 e. (eº+1) dx +(e? + 2) dy = 0 3. The solution of the following separable DE xy' =-y? is a. y= '+c b. y=- c. y = In x+c In x+c d. In y=x? + e. yer+C 4....
Show that the differential form in the integral is exact. Then evaluate the integral. (3,0.1) sin y cos x dx + cos y sin x dy + 8 dz (1,0,0) Compute the partial derivatives. OP ON dy dz Compute the partial derivatives. дМ OP 0 dx Compute the partial derivatives. ON OM Select the correct choice below and fill in any answer boxes within your choice. 13.0.1 sin y cos x dx + cos y sin x dy + 8...
solution for all 4 please In Problems 1-3, solve the given DE or IVP (Initial-Value Problem). [First, you need to determine what type of DE it is. 1. (2xy + cos y) dx + (x2 – x sin y – 2y) dy = 0. 1 dy 2. + cos2 - 2.cy y(y + sin x), y(0) = 1. + y2 dc 3. [2xy cos (2²y) – sin x) dx + x2 cos (x²y) dy = 0. (1+y! x" y® is...
Show that the differential form in the integral is exact. Then evaluate the integral. (2.0.2) | sin y cosx dx + cos y sin x dy +7 dz (1,0,0) Compute the partial derivatives. OP ON ду az Compute the partial derivatives OM OP dz Compute the partial derivatives. ON dy Show that the differential form in the integral is exact. Then evaluate the integral. (2.0,2) S siny cosx dx + cos y sin x dy +7 dz (1.0,0) Compute the...
Show that the differential form in the integral is exact. Then evaluate the integral. (0.4.4) sin y cosx dx + cos y sin x dy + 4 dz (1,0,0) s Compute the partial derivatives. ӘР ON ay dz Compute the partial derivatives. OM ap dz Compute the partial derivatives. ON OM ду Select the correct choice below and fill in any answer boxes within your choice. O A sin y cos x dx + cos y sin x dy +...
2. Solve the following ODEs using an appropriate method. a) (ex + 1) .y = ev sin x b) dy 1 = -y - dx y=x. x > 0 c) (2x2y3 + 3y2) dy = -xy4 dx Cid
QUESTION 3 Find explicit solutions of each of the ODEs given below dy 2xy 3 dx + 1 +22=2. (1) + 3x®y= 22 + (1+ 3x)) = e-+*(1 + x). (a) see ar + y = 1
Consider the differential equation: (7y sin(xy) + 2 sec x) dx = (2 lny – 4x sin(xy))dy Note: Do not use square brackets in your response, use normal parantheses if you have to, i.e "0" Then aM ду and ƏN ax Is this equation exact? Yes No Consider the differential equation: sin(x)dx + 5y cos(x)dy = 0 Which of the following can be an integrating factor to make the equation exact? Select all that apply. On=e-54 On=tan(x) Ju=e-542/2 On =...