Part 2. Solutions to Some First Order DE. Solve the following DE: 2 3 y' + ²y = ²y²; y(1) = 3

Q: Solve the general solution of the equation. y = -4 sec² x+e=¹²

A:

Q: In what degree, test the homogeneity for this equation, 22 +3xy T-2y

A:

Q: Find the general solution of: (x² - y² )dx + 2xydy = 0 %3D

A:

Q: x' + 2x + y =sin (t) y' – 4x – 2y = cos(t) x(0) = 0, y(0) = 1.

A:

Q: Find the general solution using separationof variables y = re" y = 5ry – 2r Solve r dy = y +1 and…

A:

Q: s (²) + y Using homogeneous method, find the solution of xy' = xcos given y(1) = 2.

A:

Q: 5. e-ta s²+28+7 { = ?

A:

Q: Integrating factr: (y -x + xy cotx)dx + xdy= 0(*). Determination of integrating factor for egn of…

A:

Q: Find the general solution of ry' da + e dy = 0- a. 4- e2x = y2C2 b. e = cy(x + 2) + y? = C d.…

A:

Q: 5. xy"+4xy'+2y=2 ln x, x>0.

A:

Q: 3. y/" + 6y + 8y 3e-2 + 2x

A: To find out the solution of the given differential equation.

Q: Solve the differential equation: x(y - 1) dx + (x + 1) dy = 0. If y = 2 when x = 1. %3D O 1.48 O…

A:

Q: 2. 5-う 4-Cい3) 2.6 11

A:

Q: A cylindrical tank that is initially empty is 12 ft wide and has a height of 9 ft. It is fitted with…

A:

Q: 2 1 2. Solve the linear system i = Ax, where A 1

A:

Q: -x+Vx + y dy The Differential Equation dx describes the shape of a plane y curve C that will reflect…

A:

Q: Find the orthogonal trajectories to 4x6 = a – 3x^y² |

A:

Q: Solve the following equation using method of undetermined coefficients. y() + y"= 3x² +4sin x -2 cos…

A:

Q: dy cos(x-y) 1 cos(r – dx sin x sin y |

A: In this question, concept of differential equation is used. Differential Equation A differential…