In Problems 5-6, determine an Integrating Factor for the given DE. 5. (2x + (x2 +...
In Problems 5-6, determine an Integrating Factor for the given DE. 5. [2x + (x2 + y2) cot x]dx + 2ydy = 0. 6. + (+ 1)dy = 0. 7. Use Euler's Method with the specified Step Size (h), to determine the solution to the given IVP at the specified point. y = x2 + y², y(1) = 2, h = 0.2; y(1.4)~?
In Problems 5-6, determine an Integrating Factor for the given DE. 5. [2x + ( 22 + y2) cotx]dx + 2ydy = 0. 6. z'yd.x + y(x + 1)dy = 0. 7. Use Euler's Method with the specified Step Size (h), to determine the solution to the given IVP at the specified point. y = 22 + y2, y(1) = 2, h=0.2; y(1.4)~?
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 – 2 siny – 2y) dy = 0. 2. + cos2 - 2ary dy dar y(y +sin x), y(0) = 1. 1+ y2 3. [2ry cos (x²y) - sin r) dx + r?cos (r?y) dy = 0. 4. Determine the values of the constants r and s such that (x,y)...
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...
7. Use Euler's Method with the specified Step Size (h), to determine the solution to the given IVP at the specified point. v=x2 + y2, y(1) = 2, h=0.2; y(1.4)? 7. y(1.4) v2 = 5.088
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....
(2) [Problem 1.9.25 Part 1] Determine the integrating factor for the following differential equation. æży dx + y(x3 +e-34 sin y)dy = 0 (3) [Problem 1.9.25 Part 2] Use the integrating factor found in the previous prob- lem to solve the differential equation xạy dx + y(x3 +e-34 sin y)dy = 0.
help with differential equations. having problems with the 2nd problem, 3rd, 6th, 7th, and the rest. I don't understand how to work the 2nd, 3rd, 6th, and the rest of the questions. Homework Problems for Handout Sheet 01 1. Show that y Ke' -2x+1 is a solution of V-y-2x-3, and then find K so that y Ke -2x+1 also satisfies y(0)-4 2. Show that y -Ke-2e +4xe is a solution of dy + y 8xe, and then find K so...
QUESTION 25 Find an integrating factor of the form x"y" and solve the equation. (2x+y2-9y)dx+ (3y-6x) dy=0; y(1) =1 A 4x2y3 – 3x3y2 = 1 o e x?y2-3x3y2 = -2 ocx?y* - 3x^y2=-2 02.3x2y3 – x3y2=2 Ex?y-3x?y2=-2
Find an integrating factor of the form X"y" and solve the equation. (2x-172-9y)dx + (3y-6x) dy=0, y(1) =1 OA 4x2y3 – 3x3y2 = 1 08.3x2y3 – x3y2=2 ocx?y* - 3x4y2 = -2 D.*?y3 - 3x3y2=-2 Ex?y2 – 3x3y2 = -2