2y" + 3y' + y= 3sin x+ xe

Q: У"(х) — 2у(х) + у (x) — 4x2 — 3 + et

A: Given :         y''(x) - 2y'(x) + y(x) = 4x2 - 3 + exx   To find:            The general solution of…

Q: first-order

A: Given : y' = x9y + sin(x) The standard form of first order differential equation is  y' + p(x)*y =…

Q: 3. y'-5y = x*e* - xe* – xe³x

A: 3. the given differential equation is y'-5y=x2ex-xe5x

Q: Find the general solution of the differential equation or state that the differential equation is…

A:

Q: y" +9y' = 9 tan 3x

A: The solution is given by using method of variation of parameters as follows

Q: Find the general solution of the differential equation or state that the differential equation is…

A: Given differential equation: y'=x6y Convert the above differential equation in the first order…

Q: Form the differential equation by eliminating A and B from Ax² +By² = 1.

A:

Q: solve the differential equation by separation of variables. (2+2y2)y'=exy

A:

Q: What differential equation has general solution  y=c1e^(5t)+c2te^(5t)?

A:

Q: The universal solution of the differential equation below may be found by substituting y=zx. Hence…

A: Given that                       x2 dydx = y (x+y)   hence we have to find the solution of d.E

Q: Eliminate the arbitrary constants: y= x+ Ce2x + C2e¬x 1.

A:

Q: The diffeterctial equation is y²dx+ 3xZy² dx + dy=0

A: In the given question we have to find the value of the constant c at the point (2,1) when we solve…

Q: 3. (2xy-x+2y- 1) dx +(4x²y² - x² + 4xy²-x) dy = 0

A: See answer below.

Q: x’y" -2xy +2y=x 2

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the general solution of the differential equation (4 + tan2 x)y′ = sec2 x

A:

Q: The system changed so that the right-hand side of the differential equation is 0. Use the…

A:

Q: 3x2y +y2 2x3+ 3ху dy

A:

Q: When the linear differential equation is multiplied by an integrating factor the equation will…

A: Answer of given question is written in below steps.

Q: 14.) x = C,coswt + C2sinwt; w is a parameter, not to be eliminated

A:

Q: y"″ − 3y" − 4y' + 12y = 0 -

A: To find the general solution of the differential equation y'''-3y''-4y'+12y=0

Q: find the general equation of the differential equation

A: As per the honor code, we are entitled to solve only 1 question at a time so I am providing you the…

Q: Find the general solution of the differential equation.

A:

Q: Form a differential equation by eliminating arbitrary constants "A" and "B" from the family of…

A:

Q: Show that the differential equation UTM dy -2 - ye rey - 2y dr is exact and find its solution.

A: Use the concept of exact differential equations.

Q: y(4) + y" = 3x²

A:

Q: Solve for the general solution of the given first-ordered Linear Differential Equation udx + (1 —…

A:

Q: Solve the given differential equation by undermined coefficients ya) – 5y" + 4y = 2 cosh x – 6.

A: By Bartleby policy I have to solve only first one as these are unrelated & lengthy…

Q: Solve the High order differential equation by using Variation of Parameters Method y(4) – 2y" = 4x

A:

Q: Find the general solution for the differential equation: 3- y" + 9y = sec2(3x) %3D

A:

Q: Use variation of parameters to find a general solution to the differential equation: y"+y=sec (2)…

A: Variation of Parameters: Let y''+p(x)y'+q(x)y=r(x) be a second order non-homogenous ordinary…

Q: Solve the differential equations using method of undetermined coefficient у"*у 3 х^2sin(2x)

A:

Q: give an own differential equation     solve for the solution when  x=2 and y=0

A: Given, We have to write own differential equation  and Write the particular solution when x = 2  and…

Q: Find the general solution for the differential equation

A: Given: The given differential equation is X'=45-26X

Q: Find the particular solution to the differential equation y'=2x passing through the point (2,7)

A: given differential equation is y'=2x we can write it as dydx=2xdy=2xdxy=x2+c

Q: Solve for the differential equations and get the general solution. Simplify your answer free from…

A: The given differential equation is dy=tanxtanydx

Q: Form the differential equation by eliminating arbitrary constants:y=ax3+bx2

A:

Q: Find solution of differential equation. у"+ftanx)y-e^x, У(О)-1, у (1)-0

A: The differential needs to convert in the standard form.

Q: Solve the differential equations using method of undetermined coefficient y"+y = x^2sin(2x)

A:

Q: 3. (D² + 4)y = 0

A: Given:         D2+4y=0      Auxiliary equation is        m2+4=0         m2=-4          m=±-4…

Q: y' = sec x - y tanx %3D

A:

Q: Solve the given differential equation by separation of variables. ds dr = KS

A:

Q: Please solve differential equation A - By = dy/dx A and B are constant.

A: The given problem is to solve the given differential equation where A,B are given as constants.

Q: Form a differential equation by eliminating the arbitrary constants A and B from the equation y =…

A: to find differential  equation we first form two Equation by differentiating y two times using…

Q: Find the solution of this higher order differential equation

A: Given that: (D4-3D3+4D)x=6+80cos2y

Q: Use separation of variables to find the general solution of the differential equation. dr 0.03r ds

A:

Q: y' +y Inx = 0

A:

Q: Find the general solution to the differential equation. Show al of your work please! y''-9y=(x^2…

A: Given differential equation y''-9y=(x^2 -2) sin(3x)

Q: Solve the Differential Equation using METHODS OF UNDETERMINED COEFFICIENT: y''+y'-3y=4sin2x

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.