4. Solve the given differential equation. 3xvdv + (2v² – 1)dx = 0 - (2v² – 1)° = Ca+ (2v² – 1)*x O (2u² – 1)°a* = C O(20² – 1)^ = Cx" 4 ² = C 3 3 Ca³

Q: Solve the differential equation. dy y + 1 dx O In |x| – ? () = tan - ex - x + tan-'(x) = C In |x| –…

A:

Q: 2- Solve the following differential equation; dy = ycot(x) + y°csc"x - 1 dx %3D We observe that the…

A: The given differential equation is, dydx=ycotx+y2csc2x-1

Q: 1. Form the differential equation by eliminating the constant A and B from y = emx (A cos nx + B sin…

A:

Q: y' + (2 tan x)y = - cos'x

A:

Q: Solve the following differential equation with Bernoulli differential equation…

A: (-x2-y2-x)dx+(-xy)dy=0 Above ODE can be written as  dydx=(-x2-y2-x)(xy)y'=(-x2-y2-x)(xy)

Q: 2ydx = (x2 – 1)(dx – dy)

A:

Q: 1. Solve the differential equation (3xy-3y²)dx + (x2 - 3xy)dy = 0 %3D

A:

Q: 4. Form the first-order differential equation of y = e(sin y + r) %3D

A:

Q: Solve the given differential equation (x* + y*)dx = xy³dy.

A:

Q: Which of the following differential equations are linear? Determine the order of each equation. y =…

A:

Q: Solve the following nonhomogenous differential equation: y'''' + 2y''' + 7y'' + 10y' +10y =…

A:

Q: Solve the following Differential Equation

A: Given the differential equation              (3x+4y-7)dx+(9x+12y+1)dy=0.

Q: Q-4. Form the first-order differential equation of y = e(sin y+z)

A:

Q: Solve the following differential equation, (s x)+(cos x) y = 3 sin x with the initi al dx condition…

A: Given differential equation is (sin x)dydx + (cos x)y = 3sin x

Q: Solve the following differential equation cos>x Y = xV dy = xV1-y dx Select one: O a. y= cos(xtanx +…

A:

Q: y = Cje² + C2xe* + C3x²e* %D O y" + 3y" + 3y' + y = 0 y" – 3y" + 3y' + y = 0 %3D + 3y" + 3y' – y = 0…

A: Given data is: y=C1ex+C2xex+C3x2ex