dy A3. The integrating factor for the differential equation +ycot x=x' is: dx c) e° d) sin b) tan x+c A4. Which one of the following is Non-Linear differential equation? dy b) 2+xy = 2 sin x a) cos x dy +xsin y = x dy y= sin y d) +xy= sinx dy a) c) dx

Q: d'y dy Which of the following function is the form of the particular solution of the differential…

A: The given differential equation is: d3ydx +dydx = x2 - 2sin(x) The given differential equation can…

Q: Find the differential equation corresponding to the family (x + a)? + 2y2 = a², where 'a' is the…

A:

Q: Given the differential equation cos x = y sin x, then dy dx 24. y = In (sec x) + K B Iny =In(secx)+K…

A: Here we will solve the differential equation.  Here we will use the integration  formula of tanx.…

Q: The single Solution of the differential e quation y=Px+ Cas (P) a) (-Y +* sin'slu? b) (-y - X…

A:

Q: Which of the following differential equations is linear? a. ry' -y = sin (z) O b. ry" – y'y = e* O…

A: we know that linear differential equation is given by y'+pxy=qx…

Q: Verify that the indicated family of functions is a selution of the given differential equation.…

A:

Q: The substitution V = In u can transform the differential equation (DE) dy/dx + y = 2(y In y) %3D %3D…

A: We have dydx+y=2ylny                    ...(1) Let v=lny Taking e on both sides: ev=elny⇒ev=y⇒y=ev…

Q: Which of the following differential equations is not homogeneous? A + In- ldy = 0 y sin- B (x² –…

A:

Q: Determine the order of the differential equation. 3 dy a) +y = sin x dx dy +t+2y= sin(t) dt? b) ?…

A: 1a dydx3+y2=sin x

Q: 7. Which of the folowing differential equationsis ex act? a. y°e*dx + e*dy = 0 c. sin x sin ydx +…

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. Given: (a). y2exdx+exdy=0 So,…

Q: Use F'(x) = dx g(t) dt = g(x) to verify that the indicated function is a solution of the given…

A: The given data is: y=x∫4xcosttdt To verify the indicated function is the solution of the given…

Q: Which of the following differential equations can be solved by separati A y(1+2y)dx– (x - 3y)dy = 0…

A:

Q: Which among the following is NOT a LINEAR first order differential equation? O 2 (2ry + 4y – 3) dæ +…

A:

Q: Which one of the following differential forms is exact? O a. 2x²ydr-4xy'dy+8z°xdz O b. 2cosx cos…

A:

Q: Given the differential equation dy 4x2 cos (3y) dx Separate the Variables, and then rewrite using…

A:

Q: Which of the following differential equations can be solved by separation of variables? A esin 2y dx…

A:

Q: 2. Provide the differential for a* = y*. A. dy = a*-xda + (a* In a – y* In y)dx B. y*-dy = a*-1xda +…

A: The given equation is ax=yx        . To find The differential equation for the equation. Solution:…

Q: Verify that the indicated family of functions is a solution of the given differential equation.…

A:

Q: Which of the following differential equations is a linear? а. y' + ху %3D ху? b. dy + ydx = y²e*dx…

A:

Q: Make the Nonexact differential equation ry dx + (3y? + 2x2 – 20) dy =0 an exact differential…

A:

Q: Which of the following differential equations is not a linear? ds а. dt dy с. dx S 2t2 + 3xy = y? b.…

A: We know that; the standard form of the linear differential equation. dydx+Py=Q Where; P & Q is…

Q: Determine whether the given differential equation is separable. dy dx + sin(x + y) = 0 Is the…

A: Introduction: Any differential equation that can be expressed in the manner y′=f(x)gx is a separable…

Q: dy The integrating factor of Linear differential equations + y x 2 tan a = secr is dæ O In sin 2r O…

A: The given differential equation is: dydx+y×2tanx=sec2x …1

Q: This differential equation is linear ODE in y. d'y dy y= sec(4y) dx A dx d*x - 5x = B dr ONone of…

A: Here in this problem we have to find which of differential equations in the given options is linear…

Q: Determine whether the given differential equation is separable. dy + 8 cos (x+ y)= 0 dx Is the…

A:

Q: Determine whether the given differential equation is separable. dy + 8 sin (x- y) = 0 dx Is the…

A:

Q: d'y dy z2 - 2 sin r ? Which of the following function is the form of the particular solution of the…

A:

Q: which one of the following is a linear differential equations ? dy +y sin z = e8z %3D dx O dy + Iny…

A: A linear differential equation is in the form of dydx+P y=Q, where P & Q are constants or…

Q: Let y, = cos(r) be a solution to t y" -y' +q(t) y= 0. Find a second linearly independent solution to…

A:

Q: For a eR , Which of the following is the y(t) solution function of the differential equation system…

A:

Q: Given the differential equation dy 8x?y dx Separate the Variables, and then rewrite using…

A:

Q: Ans :- Given differential equation From () (Y+ x³y + 2x²)dx + (x + 4xy"+8y³) dy=o 0 (Y+ x³y +2x2) dx…

A: We will find out the required solution.

Q: Which of the following differential equationsis a linear? a.y' + xy = xy b. dy + y dx = y e* dx c.…

A:

Q: 2. Provide the differential for a* = y*. A. dy = a*-'xda + (a* In a – y* In y)dx B. y*-!dy = a*-'xda…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Which of the following differential Equation is Bernoulli's differential equation ? , dy + y sin z =…

A:

Q: Which of the following differential Equation is Bernoulli's differential equation ? dy + y sin x =…

A: Bernoulli's differential equation is in the form of :  y'+P(x)y= Q(x)y^n

Q: Determine whether the given differential equation is separable. dy = 5y² - 4y+1 dx Is the…

A:

Q: Show that: (xy? ) is an integrating factor of the differential equation dx dy хуз у4 r.IV 2y dx + 3x…

A:

Q: Which of the following differential equations is separable? dy cos(ty) dt O dy = dt t cos(ty) dy =t+…

A:

Q: Which of the following differential equations is exact? O (sin æ – ycosy) dx + (xcosy – sin æ + y)…

A: The solution of differential equation is written in step2and 3.

Q: 7. Which of the following is a differential equation with homogeneous coefficient? (a) (y² – Væ² +…

A: To determine which of the following is a differential equation with homogeneous coefficient.a…

Q: Transform into Bernoullis' form the differential equation ry' +y - r*y ly = ry? dz + zy = ry? dz dy…

A:

Q: Which of the following differential equation is not homogeneous ? Lütfen birini seçin: A. (rtan +…

A:

Q: Which of the following differential equations is not homogeneous? (A dx + + In- dy = 0 B хау — ydx…

A:

Q: Which of the following differential equationsis not a linear? a. st ds - (2s + t)dt = 0 b. dy + (y…

A:

Q: The integrating factor of non-exact differential equation (z°y – x°)dx – (y – a³y)dy= 0 | %3D 1 x*y…

A:

Q: Which of the following is not a homogeneous differential equation O dy/dx = (x^2 + xy + y^2) / x^2 O…

A: We have to find

Q: (b) Verify that the given family of functions solves the differential equation. dy (i) dt 1 = (1 –…

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Let y = e, find the differential dy Select one or more: a. e2x O b. e2x dx O c. xe* dx Od. 2xe dx

A:

Q: Let y be a function of x. Which of the following is a first order linear differential equation? a.…

A: The possible differential equations for the first order linear differential equation are :

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.