dy sin(x - y), use the substitutions To be able to solve the differential equation dx

Q: Solve the given differential equation by separation of variables. csc(y) dx + sec²(x) dy = 0

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Q: dy + ху dx y

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

A:

Q: Solve the first order differential equation dy ycos' x 1+ sin x dx

A: The given equation is first order, linear differential equation.

Q: Find a function of the differential equation: y = x²-2 sin x

A:

Q: Solve the differential equation. cos x dy/dx + y sin x = sin x cos x

A: Simplify: Divide by cos xdydx+ysin xcos x=sin x cos xcos xdydx+y tanx=sin x

Q: Solve the differential equation: x. dy + y. dx = sin(x) dx

A:

Q: Solve the differential equation – xtan(y – x) = 1 dx

A: Using substitution y-x=t We can reduce inform of variable separable

Q: Solve the differential equation (2xy - tan⁡ y) dx + (x^2-x sec^2 y) dy = 0.

A:

Q: Solve the differential equation using separation of variables: dy + y² +y= 0 dx

A: The given DE is: xdydx+y2+y=0...(1)

Q: dy +(cos x)y = sin²(x) using first order linear differential equation. dx Solve (sin x) %3D

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Q: solve the differential equation.   y cos2 x dy + sin x dx =0

A: The given differential equation is,

Q: dx + (1 – x²) coty dy = 0

A: Given differential equation is,

Q: Solve the differential equation: dx/dy*(sin(x)) + y*(cos(x)) = sin2(x)

A: It is differential equation.

Q: solve the differential equation. y cos2 x dy + sin x dx = 0

A: Given: ycos2xdy+sinxdx=0 for solving this differential equation we use variable separable method…

Q: Solve the differential equation dy/dx=2x+sin3x.

A:

Q: Solve the differential equation dy y? sin(2x) sin (x) = 0, y(0) = 1 dx - %3D

A: Given : Differential equation dydx - y2 sin2xsin2x = 0 Boundary condition y0 = 1   To find :…

Q: dy + y² +y =0 dx

A:

Q: What could be an integrating factor in solving the differential equation dx (tan y) x = sin y ? dy…

A: Integrating factor of differential equation

Q: Solve the given differential equation by separation of variables. dy/dx = sin(8x)

A: We have to find the solution

Q: Solve the given differential equation by separation of variables. csc(y) dx + sec sec2(x) dy = 0

A: Solve the given differential equation by separable method.

Q: Solve the differential equation using simple substitution. dy/dx = e^(x+siny)

A: Given differential equation is: dydx=e(x+siny) Rewriting given differential equation:…

Q: dy -2 sin x where y (5 = JT dx

A:

Q: Solve the given differential equation by separation of variables. dy = sin(3x) dx

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Q: Find the differential equation corresponding to y=a cos(logx) +b sin (logx) where a and b are…

A: For a given solution having N constants , we have to differentiate the given solution for N times to…

Q: Solve the differential equation: dy/dx*(sin(x)) + y*(cos(x)) = sin2(x)

A: We have to solve the given differential equation.

Q: Solve the differential equation 4y® ,6 dy 7xe-y' sin x? = 0 dx -

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Q: Consider the differential equation curve if it passes through (1,-1). dy 2y dx x = 0. Find the…

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Q: Solve the differential equation (y3 – y?sinx – x)dx + (3xy² + 2ycosx)dy = 0 when x - 0, y = –1

A: Topic:- differential equations

Q: Solve the differential equation. dy / dθ    =  ey Sin2 θ /y Sec θ

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: use an integrating factor to solve the given differential equation. dy 5x 4y = Ce - dx

A: Use the mentioned method.

Q: dy ху- = x³e-*sin x +y? dx

A: Solution of given differential equation can be find as shown below

Q: Solve the differential equation (cosxcosy – cotx)dx – sinxsinydy = 0

A:

Q: Solve the differential equation dy 2y-cotx tan? e dx

A: Given: tan2xdydx=e2y-cotx

Q: Solve the differential equation:COsx dx +[sin(x+y) + sin(x – y)]dy=0

A: Given, cosxdx + [ sin(x + y) sin(x- y) ]dy = 0 we have to solve the differencial equation

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

A:

Q: У(4x + у)dx — 2(x? — у)dy %3D0

A: The differential equation Mdx+Ndy=0 is exact if ∂M∂y=∂N∂x. Compare the given equation with the…

Q: Solve this first order differential equation dy, 2 +y = -x²y? cos x

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Q: Solve the differential equation subject to the given conditions. y'=x^2/sin2y y=pi/4 when x=1

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Q: +2) dx + (y? Inx) dy = 0, is exact differential equation. Select one: True False

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Q: Solve the differential equation dy/dx =(3x^2 - sin⁡ y)/x cos y.

A: By using exact diff equation

Q: Solve the given differential equation by separation of variables. dy = sin(6x)

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Q: Solve the differential equation dy tan y x Cos x 3 dx

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Q: Solve the differential equation. 1 dy sec x 2 = ey+3 sin x dx

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Q: Solve the differential equation dy + (tanx)y = (cosx sinx)y-1 dx %3D

A: In the differential equation bring y to LHS and solve:…

Q: Solve the differential equation dy – y² sin(2x)sin²(x) = 0, y(0) = 1 %3D %3D - dx

A: Given that: dydx-y2sin(2x)sin2(x)=0, y(0)=1

Q: Solve the differential equation by variation of parameters. y" - 2y + y = et arctan(t) y(t):

A:

Q: siny dx + (x – sin? y)dy=D0

A: