In each exercise, obtain the particular of solution. (16x + 5y) dx + (3x + y) dy 0; the curve to pass through the point (1, -3).

Q: Solve the diff eq. (Homogenous) dy dx + x²(y² + 3) y(x³ + 1)

A:

Q: Find the general solution for the equation: dy=(x^2+x)y^3dx

A: Given:          dy=x2+xy3dx

Q: Find the solution of (x-2)dy = (3x² - 6x - y)dx given y(0) = 4.

A:

Q: Determine if the equation (dfferential form) is exact and find the solution if it is…

A:

Q: 3x2 what is the equation of the dy Given dx x³ + 5' curve that passes through the point (0,0)?

A: To find the equation of the curve that passes through the point (0,0)

Q: Find d2y/dx2 implicitly in terms of x and y. xy − 1 = 2x + y2

A: xy − 1 = 2x + y2 We need to find  d2y/dx2 implicitly in terms of x and y

Q: In the given question , find d2y /dx2 implicitly in terms of x and y :-   xy - 1 = 2x + y2

A: In the given question , find d2y /dx2 implicitly in terms of x and y :- xy - 1 = 2x + y2

Q: The solution of (y + x + 5)dy = (y – x + 1) dx is %3D

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: Q2) Solve the D.E dy - (2x/1-y2)dx 0 %3D

A:

Q: Determine the solution of the equation using coefficient s linear in two variables metho: (x − 3y +…

A:

Q: Q4: Solve the following equation: d²y + 16y = cos²x %3D dx2 Using D-Operator method

A:

Q: Check whether the given first order linear diff equation is homogenous or exact or separable or none…

A:

Q: Find the equation of the solution to dy/dx=x4y through the point (x,y)=(1,5).

A:

Q: Find the general solution of the followin d² y equation 5 + 4y = 8 +5. dx2 dx

A: General solution is sum of particular integral and complimentary function.

Q: B. In each exercise, obtain the particular of solution. 2. y(9x - 2y) dx - x(6x – y) dy = 0; when x…

A: Differential equations

Q: Find the general solution of the equation, d²y dy 4 + Зу %3D0 dx dx?

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Find d2y/dx2 implicitly in terms of x and y.

A: To findd2ydx2

Q: Obtain the general solution unless otherwise instructed d²y 1. dx2 - y = 10sin²x

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: x² + y)dx + xy dy = 0

A:

Q: Solve and find the domain in which the solution is defined. dy/dx = (y2-xy-x2)/x2 , y(-3)=-6

A:

Q: Find the general solution: y'- y |arctg2=1.

A: Hello, thanks for your question but according to our policy I am doing the very first question.…

Q: The cables of the suspension bridge shown in the figure carry a uniform load of w-Newton per…

A: Detailed explanation mentioned below

Q: Solve for the value of C in the equation: dy – (y + xy³)dx = 0 when y(0) = 1

A: The given differential equation dy-y+xy5dx=0dydx=y+xy5dydx-y=xy5 It is first-order Bernoulli's…

Q: Find the equation of the curve for which dx2 = 6- 9x and which passes through the points (0,–1) and…

A:

Q: (a) Find if x² + y² + xy =1 dy dx (b) Identify the nature of the stationary points of y=4x³ - 21x²…

A:

Q: Solve the Linear DE: 2y (y2 - x) dy = dx. %3D

A:

Q: Find all values of the constant c so that (2x + y) dx dy = 3.

A: Given: ∫01∫0c2x+ydxdy=3 To find value of c. Solving the given integral, we get…

Q: A. In each exercise, obtain the family of solution. 2. (x-y)(4x + y) dx + x(5x - y) dy = 0

A: Given differential equation is first order homogeneous differential equation which can be solved by…

Q: A. In each exercise, obtain the family of solution. 3(3x2 + y²) dx – 2xy dy = 0 %3D 1.

A: As it is a multiple type question, so according to the company policies, we can solve only the first…

Q: Solve the particular solution of the equation dy/dx = 3x² - 2x, when y=2 and x=-1.

A: We can solve the given problem as follows:

Q: Solve for the particular solution: dy + 를y3D -2°y"; y(-1) %3D2 dz

A:

Q: Q of y = e(cosx+4tanx+5t-tx²) dp

A: We have to find derivative of y with respect p.

Q: Q9// find the general solution (sec³x + (cotx)y)dx + (Insinx)dy = 0

A: Answer and explanation is given below...

Q: Solve the follawing D ·E. 2. y²dx + (3xy +y²-1) dy =0

A: Please refer the attached image for complete solution.

Q: Find the family of solutions of the equation (x2y5 + y3)dx + (x3y4 + x)dy = 0

A:

Q: Q1. Find a general solution of the following equation: 2x(dx + dy) + y(dy – 5dx) = 0

A: Here we have,  2x(dx+dy)+y(dy-5dx)=0

Q: 2. In each exercise, obtain the particular of solution. 2y-) dy = 0: when x= 0, y = 1 (3x +v) dy =…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Solve the following equations: a) d²y dy dx² - 3 = 9, when x = 0, y = 0, dx dy 3 b) 2 d²y - dx² dx -…

A: Use the given differential equations.

Q: Find the complete solution of d2y/dx2 +2dy/dx+y =sinxcos2x.

A:

Q: Obtain the general solution to the equation. dy y + 7x +1

A: Here we have to find general solution of differential equation

Q: y = 3x - 1 + Ce-3x Find the orthagonal trajectories to the given curve.

A:

Q: if x3 + y3 =65, find the value of d2y/dx2 at the point (4,1)

A: Given that,    x3+y3=65

Q: Find, the, general solution of 2 dy + y = xe"Inx. dx²

A: Given the differential equation           y''-2y'+y=xexlnx Find the general solution.

Q: Sketch an approximate solution curve that passes through each of the indicated points

A: Here is the solution of the given problem.

Q: Solve this DE:  (x-y-2)dx + (3x+y-10)dy = 0

A:

Q: 2. Solve the equation (y²- 1) dy/dx -3y, given that when x = 13 y-l

A: Hello

Q: Obtain the general solution to the equation. dx 8 y: + 4x = 9y dy

A:

Q: -B-2-1 -2 -3- -8- 16+ hich equation best represents the linear functi Oy=-5x + % Dy= -5x+ 3 Dy= % x…

A:

Q: dy Find the equation of the solution to dx x°y through the point (x, y) = (1, 2).

A: