Find the general solution of the following equations? y" – 3y" – y + 3y = 2x + 40 sin x 3-

Q: y" + 3y' + 2y = e¯ 2« – 10 sin(æ) - 10 -2x -

A:

Q: Express the equation r = 3 cos 0- 12 sin 0 in Cartesian coordinates. (x² + y²) – 3r + 12y = 0 + y²)…

A:

Q: Which of the following CANNOT be solved by method of undetermined coefficients? A (D2-3D+2)y=sin x+…

A: Given that:

Q: Solve the equation for x in terms of y if 0 < x < π and 0 < y < π.sin x/3 = sin y/4

A: An equation can be defined as a mathematical statement consisting of an equal symbol between two…

Q: Which of the following equations cannot be solved using the method of undetermined coefficients y"…

A: Method of Undetermined Coefficient:

Q: y"+4y' + 3y = sin e*

A: Solving the differential equation by variation of parameters method

Q: Find the general solution of the equation d2y/dx2 - 2dy/dx +4y =2ex sin2(x/2)

A: Given the given differential equation is d2ydx2-2dydx+4y=2exsin2x2

Q: x*y"+xy'+(x? y=x cos x 2. Show that is a solution of the equation

A:

Q: Find the general solution of y' = sin?y cos³x

A:

Q: Which of the following equations CANNOT be solved using the method of undetermined coefficients? O…

A: Method of undermined coefficients

Q: Obtain the general solution of the following equations: sin y(x+sin y)dx+2x2cos ydy=0

A:

Q: Use undetermined coefficients to find the particular solution to y'' + 5y' + 4y = - 400 sin(2t) Y(t)…

A:

Q: Find the solution of y" + 3y = 126 sin(3t) + 54 cos(3t) with y(0) = 2 and y' (0) = 7.

A:

Q: set up the appropriate form of a particular solution yp, but do not determine the values of the…

A:

Q: Find the general solution of the equation: y' -2y = 2 sin(3t).

A:

Q: Find the general solution to the following equation y" (0) + 3y'(8) + 2y(0) = sin 0 – cos 0

A:

Q: (b) Find the complete solution (y = ye+ yp) of the following equation using undetermined…

A:

Q: 2x Show that y = e²* sin 3x satisfies the equation y"-4y'+13y=0.

A:

Q: 2x y" + 4y' + 5y = cosx

A:

Q: solve the di¡erential equation. 17. y′ = sin^3 x cos^2 y             18. x dy - (x4 - y) dx = 0

A: 17). To solve the differential equation: y'=sin3x cos2y Solution: Given differential equation can be…

Q: Solve the general solutions of the following exact equations. 4.)(2x +x°y' )dx +(x³y' +4y° )dy =0…

A:

Q: Q7// find the general solution 1 (sin-ix + =y)dx + sec-1xdy = 0 xVx² – 1

A:

Q: Find the general solution of the following equations. 4. dy - x² = x dx sin x 5. y-'dy + ye cos x dx…

A:

Q: solve for y'. y=sin-1[(ax+b)/(bx+a)]

A: Sin-1x can be written as asin(X)   So we have expression as y=sin-1(ax+b)(bx+a) We have to solve for…

Q: Find the general solution of the following Differenti 1. y(y2 + 1)dx + x(y² – 1)dy = 0

A:

Q: (c) y" + 2y-3y = 9 sin(t)

A: A detailed solution is given below

Q: Determine the most appropriate method to find the general solution for the functions: y" - y' - 2y =…

A: Given differential equation is y''−y'−2y=2x+sin2x−4hcos2x. We have to determine the most appropriate…

Q: 6. Find the solution to the following IVP. (a) r- 2y = x sin (2r) – r³ + 4t, given y(n) = . %3D

A: Given equation: xdydx-2y=x5sin(2x)-x3+4x4 Condition yπ=3π42.

Q: solve for the ganeral solution.  y' + x-1y = cos(x2)

A: Find the general solution.

Q: 4 Find (b) y sin 2x.

A: This question is about differentiation or finding derivative of y with respect to x.

Q: Q7// find the general solution (sin-1x + 1 y)dx + sec-1xdy = 0 1 xVx² – |

A: The detailed solution is as follows below:

Q: Find the general solution: 2y" + 3y' +y = 2e2 + x² + 3 sin(x).

A:

Q: 5. (D² + 16)y = 24 cos 4x – 32 sin 4x

A:

Q: Solve the following problems by the method of undetermined coefficients. (D? + 16)y 24 cos 4x - 32…

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system the auxiliary…

Q: Find the general solution to the equation: y' = y sin(2x + 3) .

A:

Q: Which of the following equations CANNOT be solved using the method of undetermined coefficients? y "…

A: Firstly we define method of undetermined coefficient

Q: Find the solution to the given equations: (a) y" + y' – 2y = cos(x) – 3 sin(2x), y(0) = 1, y'(0) = 2…

A:

Q: the Following DE y" Solve y-y-6y = 2 Sin X

A:

Q: Q/ Find the generd solution of the differention equation y"-3y'-2y=4 cos (x) +2 sin (x)

A:

Q: 4. (D² – 3D+ 2) y = 14 sin 2x – 18 cos 2x -

A: From the given differential equation; D2-3D+2y=14sin2x-18cos2x So, the auxiliary equation is:…

Q: Find the general solution of: y"-3y 8e* + sin 2-

A:

Q: Solve the following equation using separation of variables: cos(x) dy 2y d.r 1+ sin(x)

A: Solution of following equation using separation variable 2ydy/dx= cos(x) /(1+sin(x))

Q: Find the general solution: y" + 5y' + 6y = 4e¬t cos2t + sin2t A - BI -

A: Differential equations

Q: Solve for the general solution of the following equations dy d. sinx+ ( cosx) y=sin( x²)

A:

Q: Find the general solution of the following equations? dy 1- x². x2 + sinx – y = 0 dx

A: Given differential equation is

Q: Find the general solution of the equation y" − 4y' + 3y = sin(x)e²x -

A:

Q: Use imaginary part of the solution to the complexified version of the following ODE to find its…

A:

Q: evaluate the triple iterated integral.

A:

Q: Given xy' + 3y = sin x %3D find the general solution. x2

A:

Q: Solve the following a) 2d²y_dy 3y = 25 sin 2x dx² dx d²y b) - 4 - 3y = 25 sin 2x dx² dx c) d²y dx² +…

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.