8.) y Inxlny dx + dy = 0

Q: Find the general solution of each differential equation, and when initial conditions are given, the…

A:

Q: y(1 − lny) d² + (1 + lny) ª dx² dx² = 0

A: Differential equation y1-lnyd2ydx2+1+lnyd2ydx2=0

Q: II. Find the particular solution of the given differential equation. у"-4y'+13у 3D0, у(0) — —1,…

A:

Q: y" +9y' = 9 tan 3x

A: The solution is given by using method of variation of parameters as follows

Q: Find a differential equation whose general solution is y = c₁e²t + C₂e-2.

A: Note: Your general solution should be: .The differential equation for this general solution needs to…

Q: • / = Ity

A: y'=x-yx+y It is a homogeneous differential equation. Put, y=vx⇒y'=v+x·dvdx Therefore,…

Q: 4. dy 2x = (3y + x). dx

A: As per the company rule, we can answer only the first question and rest can be reposted.

Q: (2xy + x)dy – [x² + y² + y + 1]dx = 0 When:x = 1; y = 0

A:

Q: у" — Зу" + Зу' — у %3D 0; y = x?e* * – 4x + 4x = et; x = e2t + tet - X =

A:

Q: 4.Determine if the given function is a solution of the given differential equation

A:

Q: (cos2y — 3x*у-)dx + (cos2y — 2хsin2y — 2x3у)dy — 0

A:

Q: y = y2 y = Yı)

A:

Q: Determine the particular solution of the given differential equation: 6y' – 2y = xy* @ y(0) = -2

A: This differential equation is in the form of Bernaulli's equation. So first we reduce it in the…

Q: dy 4. x dr -y + Væ² – y?

A:

Q: y" – y' – 6 y = sin t + 3 cos t

A: The given equation is a second order linear non homogeneous differential equation with constant…

Q: 2) y = c1e5x + cze²2×.-ex : y"-3y'-10y=6ex 2

A:

Q: Find the differential equation whose general solution is y=c1e4t+c2e-5t

A: Find the differential equation of given solution.

Q: Equation: y" - 2y' + y = 0 y = 2xe* b. y = x²ex a. On the interval (-00,00)

A: