The degree of the differential equation (y")³ + y' – cos y = х is с. 1 d. no degree а. 2 b. 3

Q: Find the general solution of the first-order linear differential equation for x > 0. (Use C for any…

A:

Q: 2. Form a Differential Equation for the given equation y = 2 cosx + 5 sinx by eliminating the…

A:

Q: y = C, cos 3x - C sin(-3x)

A:

Q: Find the general solution of the first-order linear differential equation. y + y = 16 cos (x)…

A:

Q: on) solve the Differential en by using vanation of parameters - 24 (+12 yll -24¹ +y₁

A: Please see the below picture for detailed solution.

Q: Obtain the general solution of the second order ordinary differential equa- tion y" +y= sec"(1)

A:

Q: Form the differential equation by eliminating the constant 'a' from r=2a (sin 0- cos 0)

A:

Q: The solution of differential equation y' + (cot x) y = 3 sin x cos x, x=(0, π). is:

A:

Q: What is the order of the lowest order homogeneous differential equation which has a particular…

A:

Q: b Show that y = e' sinx %3D satisfies the differential equation (1 - x²)y" – xy' - y = 0. |

A:

Q: Form the differential equation whose primitive is given by y= ex(a cos⁡x + b sin⁡x),  a, b, being…

A:

Q: Obtain the general solution of the given differential equation: tanydy = sin3xdx

A: The given differential equations tan2y dy=sin3x dx⇒sec2y-1 dy=143sinx-sin3x dx    As…

Q: Assume that the rate of change in y is proportional to y. Solve the resulting differential equation…

A: Given  dydx=ky Points on the curve 3, 3 and 4, 6

Q: Solve Bernoulli differential equation of y' + xy= ry². %3D

A:

Q: x³y"+xy'+4y = cos (2 ln x) bulunuz.

A: See the attachment

Q: By solving the differential equation: y = (x − 8)y' + (y′) ³³ 33 It is obtained, as part of its…

A: Consider the given differential equation, y=x-8y'+y'33 Since, it is given that as a part of its…

Q: 1. Form the differential equation by eliminating the constant A and B from y = emx (A cos nx + B sin…

A:

Q: y' cosx f. -=cos y

A: The given differential equation is,y'cos2x=cosy

Q: Find the differential equation by eliminating the arbitrary constant  sin-1x + sin-1y = c

A:

Q: Form a differential equation from the given function. y = Asin(2x)-5cos(2x)

A: Giveny=Asin(2x)-5cos(2x)   ----{1}

Q: 2. Form the differential equation from the circle passing through the origin having their centers on…

A: This question is based on forming differential equation by eliminating constant.

Q: A solution for the differential equation is y = eux A1 sin (vx) + A2 cos (vx), where m and n are…

A: We will find out the required values.

Q: The solution of the differential equation using variable separable +8 sec y = 0 is da dy O siny = 8x…

A: Divide by secy and multiply by dx the get the variable separate

Q: ya + yi = 1, when x = 0, y = 4 dy = cos(x + y), when x = 0, y = dx

A: Firstly we arrange the differential equation and after that we separate the variables and integrate.…

Q: Q1 By eliminating the constants A and B from the equation y = Asin 2x + B cos2x, form an ordinary…

A:

Q: Consider a first order differential equation. y(-x sinx + 2 cosx ) dx + x( 2 cosx)dy = 0 a) Find the…

A: Given , Differential equation is  y-xsinx+2cosxdx+x2cosxdy=0 Now ,we write the given equation of the…

Q: form the differential equation corresponding to (y – b) = 4(x -a) %3D

A: Given: The equation is (y-b)2=4(x-a)   To determine: The differential equation from the equation…

Q: 3. (х - у)ӑх + (х — у+2)dy %3D0 (Homogenous) 4. 2(2ху + 4y — 3)dx + (х + 2)?dy 3 0 (Non-exact)

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: The rate of growth of a plant is proportional to the difference between its height h and the maximum…

A: The given data is: The rate of growth of a plant is proportional to the difference between its…

Q: 4. Form the first-order differential equation of y = e(sin y + r) %3D

A:

Q: 2. What should be A for the exact differential equation of ry + A , 2Ay – 1 dr+ y? Moreover evaluate…

A:

Q: 1) y=x arccos - (c is an arbitrary constant), the lowest digit that satisfies Find the differential…

A:

Q: Find the differential equation by eliminating the arbitrary constant/s. 1. ecosx = c(1-cosy)-¹

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The degree and order of the differential equation 1+ is = dy dz о 12, 1 O 1, 15 O 15, 1 O 3, 1

A:

Q: Find the Differential equation by eliminating the arbitrary constant  Sin-1 x + sin-1 y = C

A: sin-1x+sin-1y=C

Q: dx 3. y - x = 2y2 ; y(1) = 5

A:

Q: Solve the 2nd order linear differential equation y" – y' = 5e* – sin2x %3D

A: The auxiallary equation for the given differential equation is given by

Q: Show that the differential equation [y(1+1/x)+cosy]dx+[x+lnx-xsiny]dy=0 is exact.Hence solve it

A:

Q: Form the differential equation by eliminating the arbitrary constants y = a csc x + b cot a

A:

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A:

Q: Determine whether the given differential equations are homogenous or not homogenous. If the equation…

A: A first order differential equation is homogenous if it can be writen in theform dydx=Fyx

Q: Solve the given Cauchy-Euler differential equation. For problems with initial values, plot the graph…

A:

Q: What differential equation has y = x² cos y - 4x + C as a solution?

A: We have to find

Q: The differential equation formed by eliminating arbitrary constants a and b of y = 9 a sin z + b

A:

Q: obtain the linear differential equation with the real, constant coefficients that is satisfied by…

A: Solution.

Q: is there any homogeneous linear second order differential equation such that two functions e* and t²…

A: Given: The two functions and   is the solution of the second order differential equation

Q: dy 47. = cos cos 2x, y(0) = 3 dx

A:

Q: From the differential equation by eliminating the arbitary constants A and B from the equation…

A:

Q: By solving the differential equation: 33 y = (x – 8)y' + (y')* It is obtained, as part of its…

A: We are given the following differential equation.           y=x-8y'+y'33 We further have that…

Q: Obtain the Differential Equation from the given general solution. y = C¡ cos(4x) + Cz sin(4x) + Cx…

A: Use the following formula, to find the solution. ddxcosax=-asinaxddxsinax=acosaxddxuv=udvdx+vdudx