Solve following DE x^(2)y"-7xy'+16y=0

Q: 2x" 2x' 4x = 2e

A: Given differential equation 2x''−2x'−4x=2e3t.....1 Divide both sides by 2, we get x''−x'−2x=e3t Now,…

Q: Solve for the particular solution: (D² - 2D + 6)y = 4e-2x O yp = (-1/2) e^(-2x) O yp = -2xe^(-2x) O…

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Q: Solve for the equation by equating coefficients: y′′ − 3y′ + 2y = 2x^2 + e^x + 2xe^x + 4e^(3x)

A: The given differential equation is: y''−3y'+2y=2x2+ex+2xex+4e3x

Q: Solve x' = 3xt²-3t², x (0) = 2.

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Q: How to solve this equation y'''-8y"+4y' + 48y= 4x^2+1 using Variation of Parameters

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Q: solve z^2 - w^3 = 0 diophantine equation

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Q: 3t 2x"-2x'-4x = 2e" 5.

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Q: y + y = T+?" 1+ 12°

A: In this solution i got a critical integration which term i have conclude with a integral sign

Q: find a real root of the equation x-4x-9 0

A: Let f(x)=x3-4x-9 Substitute x=1,2,3 one by one in the function to obtain the corresponding values of…

Q: solve y′′′′+ 3y′′−4y = t^2

A: Given differential equation is yIV+3y''−4y=t2. We have to find the solution of the given…

Q: Solve the equation x^2+y^2=4z+3 for x, y, z EZ

A: Given:   x2+y2=4z+3    x , y , z ∈ Z

Q: Solve yuyx - Ux=4/x

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Q: Solve  y'' - 81y = 0

A: You can solve by finding auxiliary equation

Q: Solve y'= 3y.x² 3 x³ + 2y4

A: This question can be solved using the concept of linear differential equation.

Q: solve y′′+2y′+y=5t^2 using the Method of Undetermined Coefficients

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Q: Solve the equation (x^4 + 2y)dx - xdy = 0

A: I am attaching image so that you understand each and every step.

Q: 3. Solve -4 -2 X' = 3 X+ -Se -11 -2

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Q: Solve y" + 4y – 2y = 2x² – 3x + 6..

A: The given differential equation is y''+4y'-2y=2x2-3x+6. The auxiliary equation of the corresponding…

Q: Construct an example of a second-order, non-constant coefficient, linear, homogeneous ODE. Then…

A: Suppose second order non constant linear homogenous ODE is  8x2y''+2xy'+y=0            .....(1)

Q: Solve (2x^2y +y)dx+xdy =0

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Q: 1 = felan(4x*). sec²(4x²)xde 2

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Q: 3 = 4- 2y + - dx

A: The differential equation is,   The figure below represents the vector field of the differential…

Q: Simplify (5x'yz)

A: Given, (5x3y-2z4)3

Q: Solve for z. (2-i)z+8z^2=0

A: Given equation is, (2-i)z+8z2=0