17. What is the general solution of the differential equation (y² + 9)dx + (3x – 2xry)dy = 0? 2y A) 피자-tan|글 |-y'+9) =c C) In\x\+ tan" - h(y +9) = c 3 B) In|x|+ tan" ( 3y)+ In(y° +9) = c D) 피지- tan" 2 – In( y² +9) = c

Q: The complementary function(C.F.) of the differential equation (D – 7)(D² + 7?)y = e7² is O (c2 Cos…

A: Solution: The objective is to find the complementary function of the given differential equation

Q: obtain solution of this differential equation (1-xy)-2dx+[y2+x2(1-xy)-2]dy=0 when x=2 and y=1…

A:

Q: Use the method of undetermined coefficients to solve the differential equa- -2x y" + 5y' + 6y = e-®…

A:

Q: 9")2-18y'y" + 9v)² = 4x² + 20x + 25

A:

Q: The single Solution of the differential e quation y=Px+ Cas (P) a) (-Y +* sin'slu? b) (-y - X…

A:

Q: y = (c1 + c2e2= + c3e¯® + C3e¯ cos(2x) + c4eª sin(2x))

A:

Q: For the differential equation d'y dx² ○(c₁₁+c₂x−cos.x) e¯* (q +c₂x-sin x)e™x ○ (c₂ + c₂x + cosx) e¯*…

A:

Q: solve the differential equation using integrating factor. ((y(e^xy))+sin(x)) + (dy/dx)(e^xy)x = 0

A:

Q: c. y" +4y=tan2x %3D

A: Solution of the given differntial equation is

Q: The complementary function(C.F.) of the differential equation (D² + 6D+18)y=x is_ -37 (c1 cos 3x +…

A:

Q: I Solve the differential eauations 4. (D7D+19D+13)y =0 when x-0, y=0, y'=2, y"= -12, find y()

A: Given differential equation is D3+7D2+19D+13y=0 and given when x=0, y=0, y'=2, y''=−12 that is y0=0,…

Q: Solve the differential equation by variation of parameters. y" + y = sin?(x)

A:

Q: Using variation of parameters, solve the differential equation y" + 3y + 2y = sin(e*). (Hint: [ e²*…

A:

Q: Obtain the differential equation associated with the family of curves below: y = A + Bx + Ce2x y" -…

A:

Q: y2(1+(y')2)=x+y'y find the general solution to the equation.

A:

Q: solve A) y''-2y'=6e^2x-4sin(x)

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Solve the differential equation y''''+y''=3x2+sinx-2cosx a) what is the complementary solution b)…

A: We have to solve the differential equation y'''' + y'' = 3x2 + sinx - 2cosx a) Complementary…

Q: Show that the solution of the differential equation dy/dx=sin(x+y)+cos(x+y) is  1+tan(x+y)/ 2 =…

A:

Q: Question 6 Prior to running the Boston Marathon, a runner's personal best pace for a race is 10…

A: Given that Prior to running the Boston Marathon, a runner’s personal best pace for a race is 10…

Q: Solve the differential equation by variation of parameters. y" + y = sec (0) tan(0) y(0) = c₁cos (0)…

A:

Q: Form the differential equation Por the curve y= 2sin (x + 3)

A: The order of the differential equation is the highest derivative present in the equation. The…

Q: Find the solution r(t) of the differential equation with the given initial condition: r'(t) = (sin…

A:

Q: Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area…

A: When the given curve y = 9 - x2 intersects the x-axis, we have                y = 9 - x2 = 0…

Q: Find the general solution of the following differential equation: a) t * dy/dt = (1-y^(2))^(1/2).…

A:

Q: Obtain the differential equation of the family of circle with center on the x-axis

A:

Q: Solve for the differential of y when y= sinax, x=-, and dx= (A 4 B C) 4 D

A: Given; y=sinπx ,x=1/3, dx=1/2.

Q: find differential equation of the following equation 1) y' = y-x y+x

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 2) Find the general solution of the equation 1 y""+y' = (sinx)3

A: The  given equation  is  The auxiliary  equation is  given by…