The general solution of the non-homogeneous differential equation (2x +6y+1)dy = (x+3y– 2)dx is (a) – 3x+ 6y+3ln(x+3y – 1)= 5C = C (b) 3.x+ 6y+3ln(x + 3y – 1)= 5C, (c) – 3x+6y+3ln(x+3y–1)– x= 5C = C (d) – 3.x+ 6y+3ln(x+3y –1)-x = C

Q: Solve the differential equations 1. x(2y + ln3x)dy + (x + y)dx   when x=3 y=1/2

A: The given differential equation is x2y+ln3xdy+x+ydx=0 when y3=12 we have to find the solution to the…

Q: Solve the given differential equation (За + у — 2) dx + (ӕ +у+4) dy — 0 О 3(г — 3)? + 4 (ӕ — 3) (у +…

A:

Q: Solve the given differential equation (3x + y - 6) dx + (x − 3y + 8) dy = 0 © 3(x − 1)² + 2 (x − 1)…

A: We solve the following first order first degree differential equation (3x + y - 6)  dx + (x - 3y +…

Q: X |_ [² é

A: Given differential equation x'=x+2y-6e-ty'=4x+y-8e-t From the homogeneous solution given it is clear…

Q: olve the given differential equation x + y − 1) dx + (x-y-4) dy=0 (x + 1)² − 4(x + 1)(y-5)-2(y-5)² ©…

A:

Q: A ball is drawn randomly from a jar that contains 5 red balls, 7 white balls, and 4 yellow balls.…

A: From the given information, there are 5 red balls, 7 red balls and 4 yellow balls. The total number…

Q: Consider the differential equation x³y(³) - 6xy' +12y = 0. (a) Find distinct values of r, say r₁,…

A:

Q: What is the general solution to the differential equation 2ydx = (x² – 1)(dx – dy) ? 2y(x – 1) – x²…

A:

Q: Solve the differential equation: dy x²y= (x + 1)(y + 1) dx

A:

Q: Solve the following differential equations (a) 3d²y d'y dy dy 2y = 0 + 5.x- + 2x- dr3 12 dr? d.r

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve the higher order differential equation y(3) + 4ÿ – 5ý = 0 , y(0) = 3,y(0) = -5 ÿ(0) = 9 A:y =…

A:

Q: Polynomial Function Leading Coefficient Degree y-intercept X-intercepts Sketch of the graph 1. y…

A:

Q: For the differential equation (2y³ – x³) dx + 3x y²dy = 0, what is p (x) and q (x) ? A P(x)= B (x) =…

A:

Q: The solution of the differential equation V y +2y +y=2e* using the method of reduction of order is

A:

Q: Find the general solution of the differential equation: dx/dt = 5x - 3. (1/5)[In(5x + 3)]= t + c O…

A: Given that: dxdt=5x-3

Q: Find the differential equation of the following function (х — Зу + 2)dx + 3(х + Зу — 4)dy — 0 х-1 a.…

A:

Q: Solve the given differential equation by undetermined coefficients. y"+2y=-18x²2x

A:

Q: How would you solve this differential equation problen numerically? x = x₁ + x - sint |x²₂2 = x2 -…

A:

Q: The general solution of the differential equation y(5) − y(4) — 12y(³) = 0 is -

A:

Q: (b) Using Rule (4) If M (x, y)dx + N(x, y)dy = 0 is not exact and can be written in the form y f (x…

A:

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

A:

Q: Find the differential equation of the following function (x – 2)dx + 4(x + y – 1)dy = 0 a. 2(y + 1)…

A:

Q: Solve the given differential equation (3x+y-2) da + (z+ y+4) dy = 0 O 3(x-3) + (2 - 3) (y+7) - (y+…

A: Answer

Q: The solution of the differential equation (xy – y²)dx – (x² + y²)dy = 0 is : %3D A) 2 In + 1| – In |…

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.