The integrating factor of the linear first order differential equation dy dx sin2x- y+tanx Oa None of these Ob sinx tanx Vienx

Q: An Integration factor of this differential equation is .7 3x? + 1 + x3 dy 1 y : 1+ x2 dx

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Q: The integrating factor of the differential equation as shown is e^(-y).

A: Given that: dxdy+x-y=0

Q: y + sin(t + y) = sin t is linear differential equation. Select one: True False

A: A linear differential equation order is of the form:a0 x dnydxn×a1  xdn-1ydxn-1+...+an-1xdydx+anx…

Q: first-order

A: Given : y' = x9y + sin(x) The standard form of first order differential equation is  y' + p(x)*y =…

Q: 18. What is the integrating factor of the differential equation y' =cscx-ycotx ? a. tan x C. sinx b.…

A: This is a question related to differential equation. Based on the formula of integrating factor we…

Q: Solve the partial differential differential by separation of variables 70z + 6 = 0.

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Q: 9. From the differential equation sinh 2x, sketch some of the family of curves. %3D dx

A: Given differential equation, dydx=sinh(2x)dydx=e2x-e-2x2∫dy=∫e2x-e-2x2dxy=e2x+e-2x4+C

Q: UFFLEPUR Find the solution the differential equation that qivCD conditon of satisties'the given…

A: Given differential equation is

Q: Use integration to find a general solution of the differential equation               dy / dx = 12x2

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Q: An object of mass m falls from rest and its velocity v given by dv =mg - kv v(0) =0 dt -- where k is…

A: Consider the given equation. mdvdt=mg-kv Further, simplify and make for integration.…

Q: The integrating factor of the linear differential equation + (tanx)y = x is, cost log(cosz) secr O…

A: Third option i.e. " secx " is the correct answer. Thankyou !

Q: %3D siny(x + siny)dx + 2x²cosydy = 0

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Q: y = 2xy -x

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Q: determine the general equation using bernoulli differential equation siny(x+siny)dx+2x^2cosydy=0

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Q: Solve the differential equation defined by x dy/dx −2y = x^6 sinx.

A: Consider the provided differential equation,

Q: Solve the differential equation below: xcosydy+sin2ydy-dx=0

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Q: Obtain the differential equation associated with the given non-derivative equation in x and y. Show…

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Q: USE EXACT DIFFERENTIAL EQUATIONS To SOLUE THE $OLLOWING: In dx-tn(x=2) 'पर्क - डेण बर =0 y dy dx 3D0…

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Q: x + ( 1+x)y = e -× sin2x dx

A: The solution is given as

Q: verify that the given equation is a solution of the differential equation.(elimination of Arbitrary…

A: The solution is given as  y=-cos(x) ln(sec(x)+tan(x))                   (1) Differentiate equation…

Q: Use separation of variables to find the general solution of the differential equation. 6 cos(tx) xp

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Q: The general solution of the differential equation by direct method: dy sec2 x dx 1+ 2 tanx y =…

A: According to the given information, it is required to find the general solution of the given…

Q: The integrating factor of the linear differential equation – (tanx)y = x is_ - O sinx O log(cosa)…

A: Given dydx-tanxy=x

Q: (2 + tan2x)(1+е"У)dx — е У tan x dy %3D 0 = 0 %3D

A: Given differential equation is 2+tan2x1+e-ydx - e-ytan x dy = 0,   yπ2=0

Q: quation for y (x) with real coefficients if two solutions are cos2x and e3x

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Q: 4. y" +2y'+ = cos a COS

A: We will solve the problem

Q: -ka dt2 Sdlve the differential equation and express the X func tion of trieonometrie func tion as

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Q: Find the differential equation characterizing the family of curves described. a. Tangent to ky=x²

A: Tangent to the curve

Q: factor

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Q: -) Solve the following partial differential equation us ing direct integration: a²u = cos (x +y) дх…

A: Topic:- application of integration

Q: show complete and detailed solution of the differential equation. NO SHORTCUT!!! sinydy +…

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Q: 3. ydx+(1+x)arctanx dy= 0

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Q: Prove first that sinx siny dx - cosx cosy dy =0 is an exact differential equation then determine its…

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Q: Solve the first order linear differential equation. dy - (cotx)y = sin³ | dr

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Q: Form the differential equation whose solution is y = c1cosz + c2sinx Also find the particular…

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Q: Find general solution of differential equation. Enter transient terms if any. x^2y' + xy= 7

A: Here we will find out the required general solution for given differential equation.

Q: Y = CI Cos 3X + C2sin 3x %3D

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Q: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y =

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Q: 2. y"' + 4y' = sin x + 3 cos x

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Q: 3. y'+y tanX = secx

A: topic- differential equations

Q: The linear differential equation y' - cotx + 3y csc x = 0 has the integrating factor tan A tan () B…

A: The objective is to find the integrating factor of given equation: y'-cotx+3ycscx=0

Q: (1+ cosx)y' = sinx(sinx + sinxcosx – y) |

A: 1+cosxy'=sinxsinx+sinx cosx-y On simplification, we get ⇒1+cosxy'=sin2x+sin2x…

Q: 3. (sin'x + cosv)dx - tanxsin2ydy = 0

A:

Q: 9. Use separation of variables to find the general solution of the differential equation. dy = sinx

A: y2 dydx=sinx sperate the variables y2 dy=sinxdx

Q: Use integration to find a general solution of the differential equation       dy/dx = 2e3x

A: Consider the given differential equation as dydx=2e3x

Q: A slope field for a differential equation is shown above. If y=f(x) is the particular solution to…

A: Answer is mentioned below

Q: azu Ex: Solve the partial differential equation дудх sin³x cos²y given that du %3D siny when x=0 and…

A: First take x as a constant and integrate with respect to y and the other one

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.