xdx - (2x - y)dy = 0

Q: 4. What is the differential equation of the given functions? • y = Ce-* + Cze-2x + x y = Ce2* +…

A:

Q: Give the general solution of the differential equations.   y" - y' - 6y = sin 2t

A:

Q: 7. 2yy = e-: y(4) =-2

A:

Q: 20.Find the particular solution of the differential equation x (+1) - x-2y, given x -1 when y = 3

A:

Q: What is the general solution to the differential equation (2x- 2y- 3)dx (2x*- 4y-2)dy?

A: We have to solve the given 1st order differential equation.

Q: The particular solution to the nonhomogeneous differential equation y" + 4y' +5y = 10x + 3e-* %3D

A: The given differential equation y''+4y'+5=10x+3e-x. The particular integral is computed as follows,…

Q: Find the particular solution to the differential equation. 4y2 dx = 9x2 dy   when x=4 and y=-3

A:

Q: Obtain the differential equations satisfied by the given puiiicular solution 4. y = e3x- 5e - 1 5. y…

A:

Q: The complete solution to the nonhomogeneous differential equation (D^3 +D- 10)y = 116e^(4x), is %3D

A: Solution

Q: Find a solution to the differential equation (x + 1)y' + 3y = x such that y(0) = 5. You may assume…

A:

Q: 3. Find the complete solution of the differential equation (4x + xy2) – (y – x?y)y' = 0 using…

A:

Q: (9) Show that the solution of the differential equation y + y = -6ye» with y(0) = -1 is (e* –…

A:

Q: II. dy dx 2x² x(y² + 1)

A: We have to find the best way to solve the given First Order Differential Equation by Finding…

Q: 8. Consider the homogeneous linear equation: 2.a²y" + 3xy' – y = 0, x > 0. (a) Explain why y = e" is…

A: Note: Since these are independent subparts, according to our policy we are only allowed to solve…

Q: What is the solution of the first order differential equation y(k + 1) = y(k) + 5.

A:

Q: 5. What is the general solution of the following differential equation ( .6³yod?y =0)? ,d*y +9. dx2…

A:

Q: Consider the general solution of a differential equation is y=C₁x-C₂ ln x² find C₁ and C₂ when…

A:

Q: Find the particular solution to the differential equation. 2y2 dx = 3x2 dy when x = 2, y = -1

A: this is variable separable differential equation will separate the variables on both sides and then…

Q: 4(3х + у — 2)dx — (3х + у)dy %3D 0 -

A:

Q: 2. Solve the differential equation (3.x² – x³ + 3y – 3.xy – y³)dx + 3(x + y²)dy= 0, - by determining…

A: Exact differential equations solved by using integrating factor

Q: Find general solutions of the differential equation    (x^2-1)y'+(x-1)y=1

A:

Q: 2. y-폼-y 1 ミ、 6x 3x2 ||

A:

Q: Find the Wronskian of two solutions of the differential equation t²y" -t(t-5)y' + (t-3)y=0 without…

A:

Q: The Integrating Factor of the differential equation (x - 16) + (x- 4)y = (16- 2)e is 7z x-16 Ox+16 O…

A: Given differential equation is: (x2-16)dydx+(x-4)y=(16-x2)e7x

Q: Find the particular solution to the differential equation y - y - 2y =- 2e when y(0) = – and y (0) =…

A: The characteristic equation of the given differential equation is m2-m-2=0. So,…

Q: What is the general solution to the differential equation (3x+2y+4)dx+(3x+2y-3)dy=0?

A: An equation which involves the derivative or differential coefficient is called differential…

Q: 4) In the differential equation of, y(x³ – y)dx – x(x³ + y)dy = 0 - where a and ß are constants,…

A: Explanation of the solution is given below....

Q: Find general solutions of the differential equation          x^3+3y-xy'=0.

A:

Q: Find the general solution of the given differential equation 1 2 -y' + y = -x(secx)²y2 x2

A:

Q: d?y %3D = 4(1+3x)² if y = -1, y' 2. Find the particular solution of the differential equation -2…

A:

Q: The complete solution to the nonhomogeneous differential equation (D^3 + D - 10)y = 116e^(4x), is *

A: Explanation of the answer is as follows

Q: Find the general or Special Solution to the differential equation 2 y = (x-y₁²

A:

Q: Solve the non-homogeneous differential equation of 6y"-y'-y=1-x-x?

A: Given differential equation is  6y"-y'-y=1-x-x2

Q: 7e-3x+2x² -xcosx y' -6y3

A:

Q: 4. (4D2 + 4D + 1)y = 7e-* + 2 when y(0) = 1; y'(0) = 3

A:

Q: Find the homogeneous differential equation whose general solution is y = 3cos(x) - e3x/2 -…

A: Given the solution of a homogeneous differential equation   y = 3cos(x) - e3x/2 - 4xsin(2x) Find the…

Q: Determine the particular solution given the differential equations and conditions. 2= 3e* , y = 6…

A: dydx=3ex, find the particular solution and the function

Q: 2- Find the solution of these differential equations : 1. (x – y) = x + y dy dr

A:

Q: A solution for the differential equation is y = Pe-3x/2 + Qe–x/2, %3D

A:

Q: Find general solutions of the differential equation  x^3y'=x^2y-y^3

A: the given equation is x3y'=x2y-y3 divide the equation by x3 y'=1xy-1x3y3            ...... (1)…

Q: Compute the value of the constant k for which kx²e5x is a particular solution of the differential…

A: We compute the value of the constant k for which kx2e5x is a particular solution of the differential…

Q: a. Find a particular solution to the nonhomogeneous differential equation y" +4y' + 5y = -10x + 5e…

A:

Q: 7. Solve the non-homogeneous differential equation (D2 – 2D + 1)y = 2e*; y = 0 when x = 1 or –1. -

A:

Q: Show that y = ce* + (x + 2)e²x is a general solution for the differential equation y' - y = (x +…

A:

Q: (2x-3y+4)dx+3(x-1)dy=0; when x = 3 and y = 2. Solve for the first-order Differential Equation.

A:

Q: What is the General and Particular solution of the Differential Equation 2x(y+1)dx-ydy=0? Where x=0…

A:

Q: Find the first five non-zero terms of the solution of the differential equation 2" + xz" + z = x² +…

A:

Q: xydx + 2(x2 +2y)dy=D0; when x= 0, y= 1

A:

Q: The differential equation (2x' - xy - 2y+3 dx- (x²y+2xdy = 0 is exact because OM ON

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.