dy The general solution of the differential equation using direct integration method 2x + 4 is 22 + 4x da O y = In(x? + 4x) + c O y = In(r + 4x + c) O y = (x2 + 4x + c) O y = In(x? + 4x)

Q: dy dt ty 1-2X=65+

A:

Q: Determine the differential equation that is satisfied x2 + y2 + 2ax + 2by + c = 0

A:

Q: Determine the differential coefficient of y= V3x2 +4x -1

A:

Q: Find the general solution of the linear differential equation ydx + xdy - x^3e^(-x^2)dx + 2x^2ydx =

A:

Q: Find the general solution of xy'-2y=2x^2lnx, x>0. write the answer explicitly

A:

Q: Solve dy/dx=ax+by+c

A: We need to use substitution method to convert it into separable form

Q: - 6 = ₁6 -X

A: Given: The differential equation is y'=y-xx-y+2. To find: Solution of the differential equation.…

Q: (x² - 1) Y +2xy = 1 solution of differential equation is dy %3D | dx

A: Introduction :

Q: 3y (11) dx* 6x2

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: Determine whether y = 2x is a solution of the differential equation y'= 6x², a. 6x2- and by'= 6r?…

A: Just take derivative of y and substitute in given differential equation and see if it satisfies the…

Q: Find the general solution of the differential equation. (Use C for the constant of integration.)…

A:

Q: When I am solving an integration question, how should I know which expression to equate to 'u' in…

A:

Q: A couple is trying to figure out what they can afford when buying a home. We will be modeling this…

A:

Q: 2. ナ www

A:

Q: xy' + y + 2y' - xsinx = 2sinx

A:

Q: (x – 2y + 3)dx + (4x + y + 3)dy = 0 %3D

A:

Q: Solve (11x + 12)eª dx using Integration by Parts. 11x + 12 and v' = eª. Use u =

A:

Q: Q1/ Solve the differential equation (choose 2). ye**dy = dx

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Form the differential equation of family of lines situated at a constant distance p from the origin.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: (x³ – 9x2 + 16x – 144)y²dy = (2x² – 1)e4Ydx %3D - -

A:

Q: Q33. Solve the differential equation 5 (a) y³ = 5 (b) y³ = y3 + c« 1 x√x + ce 5 (c) y³ = √x + c« 5 5…

A:

Q: The differential operator (D- 7)* annihilates the functions

A: We have to solve the problem:

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.