(6) Find the general solution. x+ye ²y = 0

Q: Write solution by hand

A: Step 1:Solution-Step 2:I.F.= Integrating FactorStep 3: Step 4:

Q: 1. (D2 + 2D – 1)y = 0 2. (4D4 – 4D3 – 23D² + 12D + 36)y = 0

A: Given the Differential equation: 1) (D2+2D-1)y=0 2) (4D4-4D3-23D2+12D+36)y=0 We need to solve the…

Q: The equation (3xcos (3x) + sin(3x) – 3) dx + (2y + 5) dy = 0 is exact. Solve it. xsin (3x) + y + 5y…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find all solutions z to the equation exp(iz) = −1+i.

A: Note:  ln(α+iβ)=ln(α2+β2) +i( Arg(α+iβ)+2kπ), k∈ℤ, where Arg denotes principal argument.

Q: Solve the DE. 2x²y' + 5xy – 35y = 0 — 0

A: