Use seperation of variable to solve the following differential equation (DE): (11 + x) dy – y dx = 0 y = c(11+x) у — с (5 — 33а) у — с (11 — ӕ) y = c (22x – 3)

Q: Find the general solution of the given differential equation: 2x²y" – 5xy' + 5y = 0

A:

Q: 1 (D² + 2D + 1)y = (ex=1)²

A:

Q: Solve the differential equation for general solution dy = - dx V y = 14x + C O y = /14x + C, or y =…

A:

Q: Obtain the differential equation of the following

A:

Q: dy 3 1 +-y = 27y3 Inx, x > 0 dx

A:

Q: the differential equation of the gi u= A(sec4t)1+ B(csc4t)1 2x3 12 12-C

A:

Q: Evaluate the general Solution to the differential equation: Cy-cos-x)dx+ cosxody A y(secx + tan x) t…

A:

Q: Find an integrating factor that will make the given differential equation exact- 2y Cx²tD dx + dy =0…

A:

Q: Q3: Solve the following differential: y" - 4y + 5y = x *******

A:

Q: A tank contains 100 gallons of a saline solution. A saline solution containing 3g of salt per gallon…

A: To write a differential equation for the amount A of salt in the tank at time t

Q: a. y = C,e=x + Cze-2x + x

A:

Q: ind m so that y =emr is a solution of the differential equation y'=-9y.

A: Take y=emx be the solution, then it must satisfy the given ode.

Q: dy/dx=(y+7)(y-7), where y(0)=10. Solve the differential equation.

A:

Q: Find the complete or particular solution of the given differential equation: У(x? + ху — 2у?)dx +…

A:

Q: у" — Зу" + 4у — 6+ 80сos(2x)

A:

Q: Solve the differential equation: (x2 + y²) dx – 3xy dy = 0 A. x(x2 + 3y2) = c B. (x2 – 2y?)3 = cx?…

A:

Q: dy Solve the differential equation = dx = -5x√y. √y = -5x² + Cor y = 0 √y = -5x² + Cor y = 0 2 √y =…

A: Here is the solution:

Q: 4) (e* + y)dx + (2y + x)dy = 0

A:

Q: (x? + 2ху — 4y?)dx — (x? — 8ху — 4y?)dy %3D 0

A: Given, x2+2xy-4y2dx-x2-8xy-4y2dy=0....(1) Let, y=vx then, dy=vdx+xdv Replacing the above values in…

Q: Determine which of the functions are the solutions of the differential equation: y" - xy +y = 0.…

A: