4(x-2y-1)p2+4p=1 Find the general solution of the equation.

Q: Find the general solution using the method of undetermined coefficients. / x" – 4x =t² + 17t

A: Solution:

Q: 2.3 - Can you show the steps to solving this problem? Differentiate. (33) y = (t^3 + 3t)/(t^2 - 4t…

A: Please see the white board for the quotient rule of differentiation. In this case f(x) = f(t) =  t3…

Q: 4. Obtain the general solution. y"-4y'+4 y=3e²*

A: for the solution we have equation y" - 4y' + 4y = 3e2x so now characteristic equation of this is...…

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

A:

Q: Find the general solution y'=x-5/x^2-4x+4

A:

Q: How to solve this equation y'''+2y''+4y'+8y=5e^(3t)+1 using Method of Undetermined Coefficient

A:

Q: 1. S, V4– x²dx. -2

A:

Q: 3x+y=3 5x-4y=22  solve using addition method

A:

Q: 2X - y = 5 3x + 2y = 11 solve by using substitution method.

A:

Q: Find the particular solution: (D^2-4)y=4x-3e^x

A: We need to find the particular solution of : (D2-4)y = 4x-3ex

Q: Find the solution of y"-y'-6y = -e* +12x with y(0)=1, y'(0)=-2 by method of undetermined…

A: The Auxiliary equation is D2-D-6=0 Solve for D  D2-3D+2D-6=0DD-3+2D-3=0D-3D+2=0D=3,-2 Therefore, the…

Q: 2x2+2x+1 Q2/ Solve for x, <1 x2-3x-1

A:

Q: Find the general solution y''-y'-2y=0

A: Given the differential equation y''-y'-2y=0. We need to find the general solution of the above…

Q: Solve for the general solution of (D: - 5D + 6)y = 4e* using method of undetermined coefficients.

A:

Q: Find the General Solution: (D2-1)y = (1-e2x)-3/2

A:

Q: 5. Solve, using the method of undetermined coefficients: y" + 2y' = 2x + 5 – e-2= %3D

A: First we shall get particular solution of y''+2y'=2x+5. Using method of undetermined coefficients y…

Q: -2z2 -y/2x-y2 if x=4, y= -2, and z= -5   I tried solving but I'm having no luck getting the correct…

A:

Q: Obtain the general solution: 1. (D² + 6D + 9)y = 18e 3* -3x

A:

Q: Please help

A: Comparing the given quadratic equation by ax^2+bx+c=0, we have a=1, b=-2, c=-6.The solution of given…

Q: Q1) Find the general solution 4x²y" – 8x²y' + (4x² + 1)y = 0

A: 1.

Q: 3) The solution of x2- 3x 3 C) x 3

A:

Q: Q3-Solve the equation by determination method: 2x-4y 6 - (1) x +y+z-1 * (2) Sy +72-10 (3)

A: Since we are given with multiple number of question and our guideline is solve first question kindly…

Q: What is the particular solution for y′=6e^x+x^2−7x y(0)=6?

A:

Q: When solving fx² - 4y = 4 lx + y = -1 by the substitution method, we obtain x = -4 or x = 0, so the…

A: Given x2-4y=4x+y=-1 And solution is x=-4, x=0

Q: How to solve this equation y''' - 8y" + 4y' +48y= 4x2+1 using Variation of Parameters.

A: y''' - 8y" + 4y' +48y= 4x2+1 To Find: Solve the equation using variation of parameters.

Q: What is the general solution of (D² – 4D + 7) y = 0?

A: This question is based on solution of differential equation.

Q: y5 + 2y3 +2y" = 2x2-3 find the particular solution using undetermined coefficients

A:

Q: The solution of y – 6y – 2y = 0 is -

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Q: Solve the general solution y" - 8y'+ 16y = 0 1.

A:

Q: Q6. Find general solution of the DE 4x²y" + 8ry' + y = 0

A: We need to find the general solution of the given differential equation. The general solution of the…

Q: X-2y=6 3X+4Y=10 Solve by using elimination

A:

Q: How to solve this equation y''' - 8y" + 4y' +48= 4x2+1 using Variation of Parameters.

A: Consider the given differential equation as y''' -8y'' + 4y' + 48 = 4x2 +1. The auxiliary equation…

Q: A company involved in the export of trucks has estimated that the profit (U) in millions of dollars…

A: Given: The profit U in million of dollars depends on "n" number of containers expoterd by the…

Q: The equation 2x2−6x−9=02x2−6x−9=0 has two solutions. The smaller is ___ , and the larger ___  .

A:

Q: Obtain the general solution. (D^3 - 4D)y = 0 when x = 0, y = 0, y' = 0, y'' = 2

A:

Q: -3x 2. Find the general solution for y'+3y=2xe *

A: Here we find general solution for y'+3y = 2x'e-3x

Q: 2. Solve algebraically: x2 + y² = 4; 9x2 +y2 = 9

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Q: c. Solve x2 + 4x-y+3 = 0 and x-y+7 = 0 using any of the two methods.

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Q: Find the value of k if x = 2 , y = 1 is a solution of the equation 2x+3y=K

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Q: The equation 22x – 5 x 2* +6 = 0 has two solutions. The smaller is and the larger is

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Q: Obtain the general solution using the method of undetermined coefficients (D³+D²-4D-4)y = 3e^-x - 4x…

A:

Q: (b) Solve the general solution y' + 2y = x³e–2x AP [4] i. 1-3x2 y' Lx(1-x²). ii. y = 1-x²

A:

Q: x-2y+32=17 2x+y+2=9 -3x+2y-22=-19 solve

A:

Q: 2.What are the solutions to the equation 4x^2+ 9x+5 = 0? Explain the method you chose to use.

A:

Q: 1

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.