dy COS X + y sin x = sec² x dx solution of above differential equation is

Q: dy - sin x - y tan x = 3 e dx solution of differential equation is %3D

A: Introduction :

Q: 3) yy +x²(sinx)³ = y³cotx %3D

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Q: first-order

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

Q: Solve the differential equation by variation of parameters. y" + y = sin?(x) sinx ( sin’'x cos (x) +…

A: Solve the above questions

Q: dy sin x 3) dx y=2cos sin x- 1 of first order linear differential equation COSx COsx y(7/4) = 3/2…

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Q: Show that y = cos xsin x is the solution of the differential equation y'+y tan x cos x

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Q: . Separation of Variables: x(y +1)dx+ 2 dy = 0 .

A: To find solution of differential equation using variable separable method.

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

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Q: d) sin(x)y' + cos(x)y = tan(x)

A: We have to solve

Q: (3nny-5x)dx+ 2x*cotydy = 0

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Q: solve the differential equation by separation of variables. (2+2y2)y'=exy

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Q: ta 2nd order differential equation whose general solution is y = cie" cos (4r)+cze¯1# sin (4r).

A: This problem is based on the topic of formation of differential equation by eliminating the…

Q: find solution of order differential equation  dy/dx=cos2(x-y+1)

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Q: dy + ( 1+x)y = e -× sin2x dx

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Q: Find the particular solution to the differential equation y' + ytanx = sin2x with the given boundary…

A: Given:         Differential equation y'+ytanx=sin2x            y(0)=1 This is in the form:…

Q: Find a first order differential equation for which y2 sin(xy) + (2xe)cos(x)) = 3 is an implicit…

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Q: Linear Differential Equation (2y cos x + sin* x)dx = sin x dy when x =5 =7.y = 1

A: The solution for the above question is as shown below

Q: Find general solutions of the differential equation    (2xsinycosy)y'=4x^2+sin^2 y

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Q: Find the general solution of the differential equation (4 + tan2 x)y′ = sec2 x

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Q: (5) Solve the differential equation by dy variable separable x°y- csc y dx

A: Using method of variables separable.

Q: (D² + 4)y = Sinx

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Q: x + ( 1+x)y = e -× sin2x dx

A: The solution is given as

Q: (c) )y = 3 cos(x) y' + cos(x

A: We solve the following linear differential equation by using I.F.

Q: y' + (2 tan x)y = - cos'x

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

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Q: Solve the differential equation by separation of variables. Show your complete solution. 1. (x+2)y =…

A: This question is based on differential equation solution.

Q: y In(x) ln(y)dx + dy

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Q: ind solution of order differential equation  dy/dx=(x+2y-3)/(2x+y-3)

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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: Find the general solution for the differential equation: 3- y" + 9y = sec2(3x) %3D

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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: The integrating factor of the linear first order differential equation dy dx sin2x- y+tanx Oa None…

A: The standard formula for the linear differential equation is dydx+P(x)y=Q(x). Here, P(x), Q(x) are…

Q: Solve the differential equation by variation of parameters. y" - y = cosh x y(x) II

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Q: Use separation of variables to find the general solution of the differential equation. y- dx 4…

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

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Q: (f) y' – 2y = 1 + 2x – sin(x)

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Q: 2ydx+x(x² In y-1)dy=0

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Q: solve linear and bernoulli differential equation siny(x+siny)dx+2x^2cosydy=0

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Q: Use separation of variables to find the general solution of the differential equation. (9 + x)y' =…

A: We have,

Q: The solution of the first order linear differential equation y' + ycotx = cosx is O…

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Q: use the method of variation of parameters to find a particular solution of the given differential…

A: To solve the following differential equation using the method of variation of parameters to find the…

Q: y' + 2y = cos(2x)

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Q: Solve the differential equation by variation of parameters. y"+ y = sin(x) %3D x cos(x) y(x) =…

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Q: Solve differential equation (2y cos y - x sec y - x tany)dy = (1 + sin y) dx

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Q: Use separation of variables to find the general solution of the differential equation. dr 0.03r ds

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Q: A/ By using Linear equation solve the first order differential uation y' + sec(x)y= cos(x)

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

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

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Q: iolve the given differential equation by undetermined coefficien y" + 4y = 2 sin(2x) (x) = ||

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