(y¹x=i+ I 7² +11 -)dx + N(x,y)dy = 0

Q: Xoly-y dx-Jx.ye dxz0

A: Given:            xdy−ydx−x2+y2dx=0

Q: 5)(cos.x + 3x*y}dx+(x* - y³ kdy ifadesinin tam diferansiyel olup olmadığını gösteriniz. Tam…

A: The given differential equation is:cosx+3x2ydx+x3-y2dy=0         ..........(1)which is of the form…

Q: Determine how the functions M(x,y) and N(x,y) can be found so that the differential equation is…

A: See the attachment

Q: Form the differential equation for the function y = acos(2x + b)

A: By finding first and second derivatives of function we form the required differential equation as…

Q: Prove that the change in the dependent variable z = g´(y) transforms the equation in a linear…

A:

Q: y = C, x? sin 4x + C2x² Cos 4x

A: The equation is y = C1x2sin4x+C2x2cos4x

Q: Find the differential equation which has y= asinx+bcosx+xcosx

A: Given: y=asinx+bcosx+xcosx                                   ..1 for finding differential equation…

Q: Find the differential equation by eliminating the arbitrary constants of the family of curves y = C₁…

A:

Q: Find the linear differential equation that is satisfied by y=xe-xsin3x+2e-xcos3x.

A: Let's find linear differential equation.

Q: 2. [e2y ycos (xy)| dx + 2xe2y [2we?y xcos (xy) + 2y dy = 0 -

A: The solution is given as

Q: y(4) + 2y" + 10y" + 18y' + 9y = 0 [Hint: y(x) = sin3x is a solution.]

A: The given differential equation is                                  y(4)+2y'''+10y''+18y'+9y=0 Which…

Q: Find the homogeneous differential equation achieved by the function Y = 2 e*sin (3x)

A:

Q: Determine the domain of the function as a solution to the differential equati

A: As the function y=tan(x) has a domain  , one may assume the question is concern only in

Q: :)dx + N(x, y)dy = 0 Y + x²- +

A: