12x e³x dx

Q: exi solve the Disserentail equatione using homogenous method (x₁² + y) dx-xdy -o

A: given differential equation

Q: What is the process of differentiating these equations?

A: Given,          The equation is xx2+y232=E .

Q: Solve the diff. equation y'''- y''- y'+y=2e-t+3sint

A: A differential equation that involves y, y' ,y '' ,y''' and variable 't' . The general solution for…

Q: Vx dx 1+xvx

A: To evaluate: ∫x1+xxdx

Q: у" — 27у 3 0 y

A: Find the general solution using the characteristic equation  y"' - 27y = 0 Characteristic equation…

Q: Solve for y. x= (3y+5)/(7y-1)

A: To solve for .

Q: 9x + 24xy + 16y2 + 80x – 60y = 0

A: answer is in next step

Q: fip da + y? = ry (Bernoulli DE) %3D

A:

Q: х2, у3D 12 — х, х 3D 0, around line y — -2

A: the function given to us is y = x2 and the line about which it revolves is y = -2 we have to use the…