Solve the following homogeneous differental equation by using an appropriate substution: x(dy/dx) - y = √((x^2) + (y^2))

Q: 1 |dx I (sec² x csc* x.

A: Integration gives the function whose derivative is given. It is nothing but adding all to make…

Q: y = (r² + 4r) e"

A: given question is solved with the help of product rule of differentiation    i.e. (f.g)' = f*g'+…

Q: Find the value of dy/dx at the point (-2, 1) for the function which is defined implicitly by x²y – -…

A: Differentiate wrt x

Q: If f(x) = 5x2 - 4x, find f'(2) and use it to find an equation of the tangent line to the parabola y…

A: Given that fx=5x2-4xTo find : equation of tangent at point 2,12 and f'2Solution…

Q: determine dy/dx of the implicit function: 2x2y-sinxy2+e-xy=10

A: Given implicit function is  2x2y-sinxy2+e-xy=10 To find: dydx

Q: Jordan's theorem. Assume a finite group G acts on a finite set 2. Further assume that |2 > 1 and…

A: Given: A finite group G acts on a finite set Ω. It is assumed that Ω>1 and that the action is…

Q: x = t* + 2; y = t³ + t; find the equation for the tangent line at the point (2,0).

A:

Q: The question is:  y=(x^2+x^3)^4 , find y’

A: The given equation is y =(x^2+ x^3)^4.By the chain rule of differentiation, compute y'.

Q: Solve the equation:  x (dx/dy) = 1/(y^3). Answer is y = (+-)(lnx^4+C)^1/4. I am comparing my steps…

A: