Solve the differential equation e sin 2y dx - 3x-cos 2y dy A - 3ln(sin 2y) = C B +3 In(cos 2y) = C cos 2y - 3ln x sin 2y = C D — 3 cot 2y %3D С

Q: Solve the ordinary differential equation. a) e2*cos(y)sin(x)dx + e*tan(y)dy = 0 b) (x* + 1)dx –…

A:

Q: 7. Solve the separable differential equations: a. y' = cos'y sin x b. f'(x) = cos x %3D given the…

A: Try to separate terms containing 'y' on one side of the equation and terms containing 'x' on the…

Q: Find the particular solutions of the given differential equation dy dz 2 cos a sin a given y = 1…

A: 1. Sin(2A)=2sin(A)cos(A). 2. Sin²A+Cos²A=1.

Q: Solve the first order differential equation 6y = 9x sin(x²) – 6xy + 7x %3D

A: This is a first order differential equation, so we can find the solution by calculating the…

Q: 10.Prove that the differential equation (e +1)cosxdx +e sinxdy =0 is exact and solve it.

A:

Q: 2. Find the general solution of the differential equation: dr = 2 cos(30) sin(30) de А. бr - cos(60)…

A:

Q: (r+sin 0– cos 0)dr +r(sin 0+cos 0)d0=0

A: We will check if Differential equation is exact or not. Then solving using standard procedure of…

Q: 2. Solve the ordinary differential equation. a) e2*cos(y)sin(x)dx + e*tan(y)dy = 0 b) (x* + 1)dx -…

A: To solve the following problem we use the seperation of variable method and also use  standard…

Q: Find the value of a and b for which the given differential equation is exact: *siny + (a - 3)ysinx)…

A: Equation is exact for the values a= 5 and b= -1 Therefore option C is correct

Q: Verify that for constants A, B, C and D the function ø(x) = Ae* + Be* + C sinx+ D cos x is a…

A: ANSWER :

Q: The differential equation cos y dx + (cos° y – x sin y) dy= 0 has a solution of the form f(x, y) =…

A:

Q: State the order of the given ordinary differential equation. (1-x)y" - 5xy' + 2y = cos x Determine…

A:

Q: The solution of the differential equation is dy Y =sin x dx x O x(y +cos x ) = sin x +c O x(y - sin…

A:

Q: Solve the following differential equation reducible to Homogeneous form. dy/dx = (x + 2y -3) / (2x +…

A: The given differential equation is; dy/dx = (x + 2y -3) / (2x + y – 3).

Q: Find the solution to the differential equation: cosxcos ydx + sin x sin ydy 0 a. cos x = C'siny O b.…

A:

Q: Solve the differential equation. dy Cos X dx + y sin x = sin x cos x A y= sin x In | sec x| *c sin x…

A:

Q: The solution to the differential equation: (т — 2у)dx + ydy 3D 0 is (Selection the correct answer) O…

A: Solve x−2ydx+ydy=0

Q: Solve the following differential equation 5(сosx) y' - (sinx) у%3Dу * -4 Select one: 1 a. y(x)=5/ (-…

A: A first order differential equation of the form y'+pxy=qxyn is called Bernoulli Equation. To solve…

Q: Consider the differential equation: 1. y"-y%D What is the general solution? y= [a + In(1 +te *)]e* +…

A:

Q: If the auxiliary equation of a differential equation of order 2 has real roots r1 =8 and r2 = -8,…

A: Answer is- false. Explanation is given in next step.

Q: xy dx + (x² – 3y) dy = 0. %3D

A: 6.Given xydx+x2-3ydy=0Test this differential equation which is the form Mdx+Ndy=0so, M=xy and…

Q: Solve the first order differential equation. (2y sin x cos x - y + 2y^2 e^xy2)dx = (x - sin^2(x) -…

A: Solution :-

Q: 1. Find the particular solution of the differential equation that satisfies the initial conditions.…

A:

Q: Solve the differential equation: Cos(x)dx + ( sin(x+y) + sin(x– y))dy=0 Hint: sin (A ± B) =sin A cos…

A: Given differential equation  cos(x) dx + {sin(x+y) + sin(x-y)}dy    Using identity of sin(x+y) and…

Q: Solve the ordinary differential equation. a) e2*cos(y)sin(x)dx + e*tan(y)dy = 0 b) (x* + 1)dx –…

A:

Q: Solve the differential equation:cosx dx +[sin(x+y) + sin(x– y)]dy=0 (A csc?x+ 2siny=C B csc?x+…

A:

Q: (a) Solve the first order linear ordinary differential equation dy x sin x- + (sin x + x cos x) y =…

A: The solution is given as

Q: Solve the differential equation. (Hine: Property of log: ea In t = eln t“ = tª) xy '+ 4y = sOX, x >…

A: See the answer below

Q: A) Solve the Differential Equation (e +In y+) dx+ (+ In x+ sin y )dy 0 %3D

A:

Q: The implicit solution of the differential equation (1+ x) dy = (1+ y')dx by using variable separable…

A: The answer and detailed explanation is given below-

Q: Solve the given differential equations FODE. Show complete solution y(ln y + x tan x) dx + tan x dy…

A:

Q: State the order of the given ordinary differential equation. (1-x)y" 5xy' + 7y = cos x Determine…

A:

Q: Solve the differential equation xdæ +sin? (%) [yda — xdy]=0 2x a. 4x In 2y + x sin (2²) = 0 O b. 4x…

A:

Q: Solve the given differential equation: y = 1+3y tan x y cos x = C + 3 sin x sin x 3y cos³ x = C + 3…

A: Solution

Q: Solve the exact differential equation (In y - y sin x-6e)dx+(÷- + cos x + 5 sec y tan y -6y)dy = 0 A…

A:

Q: Consider the differential equation: 1 1+e¯* What is the general solution? y" – 3y' + 2y = : Oy = [c…

A:

Q: Find the solution of the differential equation y' cos x 0. sin x a. y = cos x + C sin x b. y = cos x…

A:

Q: A solution of the Ordinary Differential Equation ry" - 2ay • (r +• 2) y- 0. *>0 is defined by the…

A:

Q: Solve the exact differential equation (In y -y sin x-6e)dx+( + cos x + 5 sec y tan y -6y)dy = 0 y (A…

A:

Q: Solve the ordinary differential equation. a) e2*cos(y)sin(x)dx + e*tan(y)dy = 0 b) (х* + 1)dx -…

A:

Q: Solve the differential equation dy 2y - %3D dx sin x considering x(2) = 57. %3D

A:

Q: Solve the differential equation xdy]=0 xdx +sin? (%) [yde 4x ln || - 2y + x sin ( ² ) = 0 2x a. 2y…

A: Given :   xdx+sin2yxydx-xdy=0

Q: To solve the ordinary differential equation dy 4- + 5y? = sin x , y(0) = 5 %3D by Euler's Method,…

A:

Q: Find the general solution of the given differential equation. cos2(x) sin(x)(dx/dy) + (cos3(x))y = 1

A: Given differential equation:                 cos2(x) sin(x) dydx + cos3(x) y = 1         ... (1)

Q: Solve the differential equation sin 2y dx - 3x-cos 2y dy = 0 by separation of variables. (A ex² _…

A:

Q: Consider the differential equation: y" + y = sec x,0 <x <n/2 What is the particular solution y.? Yp…

A:

Q: Solve the differential equation (x' + y' )dx + (3xy² + cos(y))dy = 0 Select one: O a. x + y°x –…

A: e have to find the solution of the Differential equation…

Q: Solve the differential equation as shown below; dy = [rosytan 1 cosx Lcotytanx dx cosy A siny?=…

A: For the solution of the problem follow the next steps.

Q: Solve the differential equation. y' + y tan x = cos X, -π/2<x<π/2 A y = x cos x + c cos X, - B) y=x…

A:

Q: Solve the exact differential equation (n у - y sin x- бе)ӑx+(3, + cos x + 5 sec y tanу -бу)dy %3D 0…

A: