Solve the given differential equation by separation of variables: dy 5y dx Oy = cz %3D Oy = Oy = * +c None of the options

Q: dy 2x + (4x + y – 6) = y dx

A: The solution is given below in the next step:

Q: Solve the given differential equation with initial condition.  y' - .6y = 0, y(0) = 5

A: We have been given the differential equation  y' - .6y = 0 with initial condition y(0) = 5

Q: Solve the given differential equation. (6x + 1)y² 2 dy + 3x2 + 3x² 2y³ = 0

A:

Q: Solve the given differential equation by finding an appropriate integrating factor.   6xydx +…

A:

Q: Solve the given differential equation with initial condition.  y' = 4y, y(0) = 0

A: We rewrite the differential equation as dydx=4y. Now dy4y=dx⇒∫dy4y=∫dx⇒14∫dyy=∫dx⇒14 ln y=x+C1⇒ln…

Q: Find the solution of following differential equation x²y dy – y²x dx = 0

A:

Q: Solve the given differential equation by using separable variables. 2. dy y-1 = dx x + 3

A: We will solve the given differetial equation using separation of variables.

Q: Solve the given differential equation by separation of variables. dP = p - p² dt P ||

A:

Q: Solve the given differential equation by variation of parameters. xy" – 8y' = x8 | y(x) = ,x > 0

A:

Q: Solve the given differential equation by separation of variables. dy = 6y xdx dx

A:

Q: dy 3(1 + P) - 2ty(y³ – 1) dt

A:

Q: Solve the given differential equation with initial condition.  y' = 3y, y(0) = 1

A: Given: y' = 3y,  y(0) = 1 To solve: The given differential equation with the given initial…

Q: Solve the given differential equation with initial condition. 5y = 3y', y(0) = 7

A: Given: 5y=3y',     y0=7 We can write it as, 5y=3dydx⇒1ydy=53dx Integrate on both sides we get,…

Q: Solve the given differential equation by variation of parameters. x²y" + xy' – y = In(x) y(x) = ,x >…

A: Given: The equation given is x2y''+xy'-y=ln(x). Assume y=xr be the solution. Differentiate the…

Q: Solve the given differential equation by separation of variables. e*y dy = e-y + e-6x - y dx

A: Types of differential equations separable differential equation Homogeneous differential equation…

Q: Solve the given differential equation by separation of variables. dy ху + 5х — у - 5 dx ху — 2х + бу…

A: The solution of the provided differential equation by separation of variables is given by,

Q: Find the general solution for each differential equation.

A: The given differential equation is, dydx=3x2+ex4y3 On separating the terms, we get…

Q: Identify the case of the given differential equation and determine its solution (3x + 2y + 7)dx + (…

A: Differential equation is exact. First show that given differential equation is exact and then find…

Q: Solve the given differential equation by separation of variables. dy 5x +3y dx 1 5x

A: The given differential equation is                                                     dydx=e5x+3y…

Q: Solve the given differential equation by separation of variables. dp = P - p² dt et+c P = _t+c X

A:

Q: Solve the given differential equation by separation of variables. dy 2y dx

A: xdydx=2yxdydx=2ydyy=2dxxNow integrate on both sides∫dyy=2∫dxxlny=2lnx+Celny=e2lnx+C…

Q: Solve the given differential equation by using separable variables. 1. dy x-5 = dx y²

A:

Q: Solve the given differential equation by separation of variables. xy + 5x - y -5 xy - 2x + 6y - 12…

A:

Q: Solve the given differential equation by separation of variables. (ey + 1)²e-y dx + (ex + 1)²e¯× dy…

A:

Q: 2 - (y´cosx)dx + (4 + 5ysinx)dy = 0

A: As we know that the differential equation Mdx+Ndy=0, if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take y as…

Q: Solve the given differential equation with initial condition.  y' = 2y, y(0) = 2

A: given,             y'=2y       and y(0) = 2

Q: y!V – y"'+ 2y' = 0

A:

Q: Solve the given differential equation by separation of variables. dy 2y + 7\2 dx 8x + 9

A: If the differential equation can be written in the form of fydy=gxdx then it is called separable…

Q: Solve the given differential equation by separation of variables. dy xy + 5x - y -5 dx xy - 2x + 6y…

A:

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

A:

Q: Solve the given differential equation by separatiorr of variables. 4y + 3\2 8x + 9 dy dx

A:

Q: (5y – 6x)dx + rdy = 0

A:

Q: Solve the given differential equation by separation of variables. dy xy + 8y - x - 8 dx xy - 5y + x…

A:

Q: Match the given differential equation with one or more of the solutions. (Select all that apply.)…

A:

Q: The solution of a certain differential equation is of the form y(t) = aexp(2t) +bexp(4t), %3D hore a…

A:

Q: Solve the given differential equation. y' + xy = xy² O 1 1+ cexp x2 1 1+ cexp 2 x2 y = 1 + cexp x

A:

Q: Solve the given differential equation by separation of variables. 3x + 7) ´2y + 52 8x + 7. dy %3D dx

A:

Q: solve the given differential equation. 30.y″ + 2y′ = 3 + 4sin(2t)

A:

Q: Solve the given differential equation by separation of variables. xy + 7x - y - 7 xy - 2x + 8y - 16…

A:

Q: Solve the given differential equation by separation of variables. dy xV1- y2 %3D xp

A:

Q: Solve the following Homogenous differential equation. d²x dx + 2 + 5x = 0. 1.. Find the general…

A: To find  The general solution of the given differential equation.

Q: Specifically a differential equations problem. Question in pic below.

A: We are given the differential equation,                                   First, we will solve the…

Q: Solve the given differential equation by separation of variables. dP/dt = P - P^2

A: Solve the given differential equation by separation of variables. dP/dt = P - P^2

Q: Solve the given differential equation by separation of variables. dy exy e-Y + e-4x - y xp

A: Given the separation differential equation : exydydx = e-y + e-4x-y exy dydx = e-y + e-4x  .e-yexy…

Q: Solve the given differential equation by separation of variables. dy = e5x dx + 6y

A:

Q: Solve the given differential equation by separation of variables: = 5y dz Oy = cr5 ) y = ¿xª +c Oy =…

A:

Q: Solve the given differential equation by using an appropriate substitution dy 3x+2y y (-1) = –1 dx…

A: The solution is given as

Q: Solve the given differential equation by using an appropriate substitution dy x+3y 3x+y dx

A: