In Problems 1-3, solve the given DE or IVP (Initial-Value Problem). [First, you need to determine...
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...
solve the given de or ivp 3. [2xy cos (x²y) - sin x) dx + rcos (2²y) dy = 0.
2 + COS- 2.ry dy d 1+y2 = y(y + sin x), 7(0) = 1. 3. [2cy cos(x+y) - sin x) dx + x2 cos (+²y) dy = 0. 4. Determine the values of the constants r and s such that (x,y) = x'y is an Integrating Factor for the following DE. (2y + 4x^y)dr + (4.6y +32)dy = 0. 2. C = -1 You need to find the solution in implicit form. 3. y = arcsin (C-cos) 4. r=...
show the ivp is an exact de and then solve (2xy - 9x^2)dx + (2y + x^2 + 1)dy = 0, y(0) = -3
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....
a) Solve the IVP: (x + y)2dx + (2xy + x2 - 1)dy = 0 ; y(1) = 1 b) Find a continuous solution satisfying the given De subject to initial condition. dy + 2x y = f(x), f(x) = fx, 05x<1 y(0) = 2 dx 10, 821 c) Solve the Bernoulli's equation xy' + y = x²y2
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 5-6, determine an Integrating Factor for the given DE. 5. (2x + (x2 + y2) cotx]dx + 2ydy = 0. 6. x ydx + y(x3 + 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. V = 22 + y2, y(1) = 2, h = 0.2; y(1.4)~?
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)~?
Find the solution to the initial value problem dy 6xy + y2 + (3x2 + 2xy + 2y) dx =0 y(1) = 3 OA x+y + 2xy2 + y2 + x = 31 OB. 6xy + 2y2 + x = 37 3x²y + 2x2y + x3 + 2x2 + 2y = 24 OD 3x2y + xy2 + y2 = 27 ОЕ xºy + x2y2 + y2 + x = 22