Evaluate the given differential equation (1+ cosx)y' = sinx(sinx + sinxcosx - y) a.y = x - sinx + C b.y = (1+ cosx)(C +x- sinx) c.y = (1 + cosx)(x - sinx) d. NONE OF THE ABOVE

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

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A: We have to find solution

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Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y = a sin x…

A: Eliminating arbitrary constants a & b using derivatives.

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A: Consider the provided differential equation,

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Q: y' cosx f. -=cos y

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

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

A: Giveny=Asin(2x)-5cos(2x)   ----{1}

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Q: y = C, x? sin 4x + C2x² Cos 4x

A: The equation is y = C1x2sin4x+C2x2cos4x

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Q: a differential equation is classified as a homogeneous DE if one can directly isolate all functions…

A: A differential equation is classified as a homogeneous DE if one can directly isolate all functions…

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Q: Find y2 for differential equation if yI is given: ху" — 20у'%3D 0 Y1 = 15x13 -

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Q: verify that the indicated function is an explicit solution of the given differential equation…

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Q: 15. x" + x = tan t; x=-(cost) In(sect + tant)

A: Given, x''+x=tant x=-costlnsec(t)+tan(t)x''=cos(t) ln(tan(t)+sec(t))+tan(t)

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A: Given that obtain the differential equation associated with the given non-derivative equation in x…

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A: Given: y=asinx+bcosx+xcosx                                   ..1 for finding differential equation…

Q: 3. Show that the differential equation zxy

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Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) = c₁cos(x) +…

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Q: Y = CI cos 3x + C2 sin 3X

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

A: If the particular solution is: y=2excos3x                                        ....(1) The first…

Q: Show that the differential equation (- y² – y sin r + x²)dx + ( cos x – 2xy – 2021y²) dy = 0, | is…

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Q: Verify that the indicated function is an explicit solution of the given differential equation.…

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A: First we compare given differential equation with dy/dx+Py=Q and find integration factor using…

Q: Solve the given differential equation by separation of variables. y In(x) *- (1)* %3D Ap

A: Solution :-

Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y ae" + be-ª.

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: . Given the differential equation: y" = cos(5x). Determine its general solution. A. 125y = -cos(5x)+…

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Q: 2. Form the differential equation having y=(sin-x)²+ A(cos-lx)+B. where A and B are arbitrary…

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

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Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y = a sin æ +…

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Q: dy_ y²sec² (-) tan (-) dx x2

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Q: Find the differential equation corresponding to y=acos(logx) +b sin(logx)

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Q: The solution to the differential equation -y x cos(3x) - is: Select one: cos(3x) + cx2 O 3x² sin(3x)…

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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