3) a) Solve:' 4x³y +4x?y(2)_ sxy'+2y=0 Co,0) on

Q: Question 16 Eind y' when ye? = 3y+ x and y(0)-3 -5 B -7 -4 -6

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Q: y''' -3y'' + 3y' -y = (e^x)(x+1) find the general solutions of this diff eq

A: Given differential equation is y'''−3y''+3y'−y=exx+1 Write the auxiliary equation  m3−3m2+3m−1=0…

Q: Q3. Solve in terms of Bessel's function, the ODE x²y" + xy' + ((lnx)² + ¹) y = 0 1²)y=0_z=lnx.

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Q: Show that the transformation 2 = ln x transforms the differential equation 2 x ²³y" + Axy' + By=0…

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Q: Solve the Bessel equation x^2y''+2xy'+(x^2-4)y=0

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Q: 6)Differentiate h (z) = 5z-3/z+ log, (2z) - 10 + sin(6z)

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Q: with y(0) -1

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Q: 5) By false position method the equation f(x) = e- 3x has a root between 0.5 and 1.0.

A: This question is about regula falsi method.

Q: Solve the IVP y"(1) +y'(t)- 2y(1)= 2e' sin(t), y(0) = 1, y'(0) = 1. %3D

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Q: Using [ y = e^(2x) (c1 + c2) + 3/2x2 (2x) ] and [ y = ( c1 + c2x ) e^(2x) + 3x/25 sinx + 4x/25 cnx +…

A: The given differential equation is;  y'' - 4y' + 4y = 3e2x + xsinx

Q: Please show all the work!! Solve the differential equation: y"+y'+y=sin(2x)

A: Step 1:Given differential equation: y′′+y′+y=sin(2x)We have to solve the given differential…

Q: The solution of the following Bernoulli's equation y' + 3x²y = 4x²y² is: Oy= 3/(4+3Ce^(x^3 ) ) Oy=…

A: The given Bernoulli's equation is, y'+3x2y=4x2y2. To find: The solution of the given differential…

Q: solve A) y''-2y'=6e^2x-4sin(x)

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Which one is false? If the auxiliary equation of the homogeneous linear differential equation has…

A: Let us check which of the information given is false in the next step.

Q: Solve the differential equation y''''+y''=3x2+sinx-2cosx a) what is the complementary solution b)…

A: We have to solve the differential equation y'''' + y'' = 3x2 + sinx - 2cosx a) Complementary…

Q: b) y' = =+ cos) COS Hint: use the change o variable u =

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Q: Solve the differeentail Equations for y"-2y'= 3x+9e^(3x)

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Q: 8. Find all the roots of f(x) =x* - 4x' + 6x² – 4x+5 if 2-iis one root.

A: Topic- roots of polynomial

Q: 11) Use y = - -az" to solve (3-2²)y" - 3xy' - y = 0. 1=0

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Q: ) y"+4xy'+C4x²+ 2) y = 8ë + Ax^424

A: Given that y''+4xy'+4x2+2xy = 8e-x2.e-2x+4x2+24 We have to solve the above differential equation by…

Q: 8. Find all the roots of f(x) = x' - 4x' +6x² – 4x+5 if 2– i is one root.

A: We will find all the remaining roots as following.

Q: Solve the system [: 16 -36 dx dt 6. -14 with the initial value 13 x(0) 5 -5e^(4t)+13e^(-3t) x(t) =…

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Q: In a rectangle, the width is one-third the length. The total perimeter is 40 inches. Find the length…

A: Solution: Given:    Width is one third of the length of rectangle     and the perimeter of rectangle…

Q: Find the general solution to the non-homogeneous equation: y^('')+8y^(') + 25y = cos(2x).

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Q: What are the roots of the characteristic polynomial for the differential equation y" + 4y' – 5y = 0?

A: Given differential equation:-   y" + 4y' -5y = 0

Q: y" + 6y"+ 11y' + 6y = cos(x) +e^{-x} %3D

A: