Item 7. Show that the given equation is an accurate equation and find the general solution of the equation (5x+ y* )dx+ y(2x–y²)dy = 0

Q: The following equation is a Bernoulli equation. Use the variable substitution z = y'/3 to reduce it…

A: We are given the Bernoulli equation dydx-e3xy=sin2xy2/3 We have to use the variable substitution…

Q: Question 6: Determine the equation is exact and solve ((+ 2x) dx + G+ 2y) dy = 0

A: The necessary and sufficient condition that Mdx+Ndy=0 be exact is ∂M∂y=∂N∂x

Q: dy - y = x y2 In x dx

A:

Q: Question 2: Find an integration factor (12x*y + 24x²y2)dx + (9x +32x*y+4y)dy = 0 and Solve the…

A:

Q: Question 2 Test the exactness of the following equation then solve the equation: (y In y) dx + (x –…

A:

Q: Question 2 Consider the equation 3xy + y? – 2x = 1. Find dy - dx Зу— 2 За + 2у - O 2– 3y 3x + 2y Зу…

A:

Q: Question 7 (a) Find if x² + y² +xy=1 dy dx (b) Identify the nature of the stationary points of y =…

A:

Q: Part 1 of 5 To find dy = y' for 9x3 + x²y – xy³ = 1, we differentiate both sides of the equation…

A: Answer is 0 Explanation is given below..

Q: Find dy, y = sec ( 5- 2x) 6. where

A:

Q: Question 4 Solve y at x = pi/3. cotx dy/dx = 1 - 2y, y(pi/4) = 1 0.75

A:

Q: If – 3x + xy – 4 = 0 then find dy da? at the point (-2, 1) in simplest form.

A:

Q: The equation AT*y²-J¤+1 )dy = 0 1+8x y? -)dx +( is an exact equation if A=

A:

Q: QUESTION 1 dy Find the general solution (x+ 4)- +3xy=x y(0)=1

A:

Q: Question 10 If y = xin x, find dy %3D dx2

A: Answer and explanation is given below..

Q: Find the general solution of the equation: y' -2y = 2 sin(3t).

A:

Q: Question 1 Find the value of dy/dx when x= 12.91 and Y3D4.93 for the given equation. y +3y-3x°-5= 0…

A:

Q: Question 2 Test the exactness of the following equation then solve the equation: y In(y) dx + (x –…

A:

Q: Question 4 Find the solution. ,dy 2- y?=2xy dx (A 2x -2 B

A:

Q: 2x y" + 4y' + 5y = cosx

A:

Q: 2-(3%3-6%y)dx-(322+2y)dyso 3-(2%y%+siny)dx+(43y²+žcosy)dyso,

A: we given some differential equation . As per our guidelines I can only solve first question or first…

Q: 1. Solve the linear equation y' +y = 5 sin 2t.

A: Given that  y'+y=5sin(2t) To find the general solution of the differential equation

Q: 2) Graph a typical solution curve. dy ye' – 9y - dx e

A:

Q: Match the equation to the graph. y 2 sin 30 - 1 %3D Sn / 3n 7n 21 4.

A: y=2sin3θ-1Use the form  a sin ( b x − c ) + d  to find the variables used to find the amplitude,…

Q: + 6x)dx + (ln æ – 2)dy = 0

A:

Q: Part I Solve for the general solution of the following equations: (5xy – 2y)dx + (3x'y-x)dy = 0 b.

A:

Q: The equation y = xy can be classified as FOLDE and Bernoulli’s equation. True False

A: Given that, Differential equation is following, dydx+4x2y=xy We have to find that this D.E can be…

Q: Find an equation for the graph. O A. y= 3 sin 2x O B. y= 3 sin 5x OC. y=2 sin - O D. y=2 sin 3x

A:

Q: Find the general solution to the equation: y' = y sin(2x + 3) .

A:

Q: Draw a phase line from the Attachment ?

A: dydx=y+1y-2

Q: Determine whether the equation (3x + 2y)dx + (2.x + y)dy = 0 is exact. Find the solution if it is…

A:

Q: Question No.2 Find the general solution of xy = 1+ y?

A: The given differential equation is in the variable separable form.

Q: A particular solution of the equation y(4) + 2y" + y = 9 cos(t) + 2et – 5t is of the form

A: See the detailed solution below.

Q: Question 21 y dy Find y+2 using the substitution +5= √y+2.

A:

Q: Question 7 (a) Find if x² + y² + xy = 1 dy dx (b) Identify the nature of the stationary points of…

A:

Q: If the DE represents a curve that passes through x=5 and y=6, find the exact solution of…

A:

Q: Solve four questions of the following DEs dx 2 - y = e*/2 dy

A: compare this DE with  so here we have

Q: QUESTION 1 d²y Find dx² for each of the following equations. a) y = 3x² + cos(3x) b) y = e** + (x +…

A: Given that: (a)y=3x2+cos(3x)(b)y=e4x+(x+1)4

Q: 7.+y =}(1- =(1+ 3x)y* dx

A:

Q: 4. Find du for the equation 3y? – cosy = x° -

A:

Q: 2 (x x+y 1. S*** e*(y + 2z) dz dy dx

A:

Q: (5+In 3x)* dx if the curve passes through g) Find the equation of the curve for which dyldx = 4x 45

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 1 and write the new equation in the form A+B÷ xy3 dy = 0. dx b) Multiply the equation with u = Show…

A:

Q: Find the general solution of the equation y" − 4y' + 3y = sin(x)e²x -

A:

Q: dy dx 3x + 2y + 2' 3x + 2y y(-1) = -1

A:

Q: Solve the following differentinl equations: 1. (x-y-2) dx + (x – 2y – 3) dy = 0.

A: Solution 1: Given that (x-y-2)dx+(x-2y-3)dy=0 we can write it as dydx=-x-y-2x-2y-3             (1)…

Q: dy +y = 12 e?Xy dx %3D12€

A: Bernoulli's equation: A differential equation of the form dydx+Pxy=Qxyn for all natural numbers n.…

Q: 3. following Solve the dy

A: