Give the substitution that converts the given nonlinear equation into a linear equation then find the general solution y'-y = - y?

Q: Let y = Arcsec (cos² 3x). If y '= == A (B C) D) - 6 tan3x - 3 sin3x - 6 sin3x cos3x N 2 cos3x D and…

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

Q: Find the general solution by undetermined coefficients.  y'' + y = 2x2e-x.

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Q: Solve the equation xy"+y'-5x³y=D0.

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Q: Find the solution to the equation y' - y = x2y2

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Q: Divide P(x)=8x-4x+2x-1 by D(x)=2x-1 Find the quotient, Q(x), and the remainder, R(x) Write an…

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Q: y"" + 3y'' − 4y = 0. Find y . Please check the equation carefully and then start

A: We have given equation y''''+3y''-4y=0   Auxiliary equation of differential equation is  m4+3m2-4=0…

Q: Solve for y in two ways. y' - 5y = -3

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Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

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Q: x^2 - xy + y^2 = 3, find y'' Step by step solutions.

A: Given: x2-xy+y2=3 To find y''.

Q: x+1 If y 2х — уx then y' will be.

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Q: Eliminate the arbitrary constant. y=Ax 5+ Bx³ A B 7xy "- x²y + 15y = 0 D x²y '- 7xy "+15y = 0…

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Q: 4. y = Vesinx + 2

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Q: Determine-for the implicit equation x2-10 y = 3x dy

A: We, differentiate both sides with respect to y. We use the product rule of differentiation which…

Q: Find the solution. y'+ ty = ty3

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Q: хdу — dy %3D (3x? — 3х)dx — ydx

A: The solution is given as

Q: y = sec- (Arcsec (V) + e %3D

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Q: Solve for y. x= (3y+5)/(7y-1)

A: To solve for .

Q: Solve y" - 2y" +9y' - 18y = 0.

A: Given differential equation: We have to find the solution of the given differential equation.