3. The dearee of the differential equation below is: * (2) (2)* + sin(2) + 1 = = 0 dx

Q: 2. Find the general solution of the given differential equation. dr + rsece = cos0 do

A: The given differential equation is; dr/d(theta) + r sec(theta)=cos(theta).

Q: 5. For what values of r does the function y = e™* satisfy the differential equation 2y" + y' – y =…

A: Given , differential equation       2y" + y' - y = 0   (2D2 + D - 1)y = 0 The auxiliary equation of…

Q: 8. The differential equation (2x-xy-2y+3}dx-(x*y+2xkty = 0 is exact because ÔM ON

A:

Q: For which values of n is the function ya solution of the differential equation xy"-Kxy'-6y=0

A:

Q: The solution of following Differential Equation dy sec²y+x tan y = x³ , is %3D dx

A:

Q: In the given question as follows , find the general solution of the differential equation (4 +…

A: We have to find the general solution of the differential equation: 4+tan2 xy'=sec2 x Rewriting the…

Q: dy dx when x = 1 9

A: Given: Differential equation with the initial condition: Concept: The given equation is a variable…

Q: 3. Select the correct type for the following differential equation (10 Puan) (2xy + 3y²) – (2xy +…

A:

Q: 5. Find the general solution for the differential equation -(sin y + y sinx )dx + (cos x – x cos…

A:

Q: Solve the differential equation 2 ď²y dy + 4y = cos(ln x)+x sin(ln x), r > 0, dr dr? by using the…

A:

Q: 2. Obtain the Differential Equation from the given general solution. y = Cj cos(3x) + C2 sin(3x) +…

A:

Q: 3. Show that the differential equation dx is homogenous. Zxy

A:

Q: What is the differential equation obtained by eliminating the parameter A from the relation…

A: The explanation of answer as follows

Q: Suppose that f(t) is a solution of the differential equationy′ = ty - 5 and the graph of f(t) passes…

A: Given, y'=ty-5 And f(t) is a solution of the differential equation. The graph of f(t) passes through…

Q: 4. Which of the following represents the differential equation of the family of parabola having…

A: Follow the procedure given below.

Q: 1 dy -y =- cosx.y dx

A:

Q: I. dy tan(x) dx Cos (x) + x²

A: Given equation is dydx=tanxcosx+x2   What is the best way to solve the First Order Differential…

Q: ду 9. The differential equation (3ycos.x+4xe" +2x'e" dx+3(sin x+1)dy 0 is exact because ON 10. The…

A:

Q: x²(a+x) 2. Family of strophoids with the equation y² %3D a-x

A:

Q: xdy - (y + x² cos(x)) dx = 0

A: xdy-y+x2cosxdx=0xdy-ydx-x2cosxdx=0xdydx-y-x2cosx=0dydx-yx=xcosxFirst order linear diff. eq.

Q: 5. The differential equation (3x'e' - 2xx+ (r'e' -sin y ldy = 0 is exact because ON

A: Partial differentiation is needed to be done after identifying M and N

Q: y = G, cos 3x – C, sin(-3x)

A: The general solution of a differential equation is y = c1cos(3x) - c2sin(-3x) We need to find the…

Q: 4. Find the solution of the following differential equation dy_tan'x* sec*x Зу, x>0 x- dx

A:

Q: 1. Select the correct type for the following differential equation 2ху + 6х + (x2 - 4) у' 3 0 х # +2

A:

Q: 1. What is the integrating factor of the differential equation ydx – xdy = 0 using case 1?

A:

Q: e'sin2 xdx + e2Ycosxdy= ycosxdy 1

A: Given differential equn is eysin2xdx+e2ycosxdy=ycosxdy⇒(eysin2x)dx+(e2ycosx-y…

Q: 24- Solve the following differential equation: (1+x²)dy + (y-tan-¹(x)) dx = 0

A: Solution to the differential equation

Q: 6. Find the general solution of the following differential equation using variation of parameters.…

A:

Q: what is the particular solution to the differential equation dy/dx=3sin(x)(2-y)with the initial…

A: You need to apply variable separable metod to solve the given differential equation.

Q: If we use the method of undetermined coefficients, the particular solution of the following…

A: Using variation of parameter we know the standard form of the given particular solution.

Q: Solve the following differential equation (3tanx – 2cosy) sec2 xdx + tanxsinydy = 0 -

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: 3. Show that the differential equation zxy

A:

Q: Find the differential equation by eliminating the arbitrary constant/s. 1. ecosx = c(1-cosy)-¹

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 3. Solve the Euler-Cauchy differential equation d' y dy - 3x+4y=ln² x – In x dx dx?

A:

Q: If a nonhomogeneous linear differential equation has g (x) = sin 5a particular solution? O A sin Br…

A:

Q: (2x3 – xy – 2y + 3) dx – (x²y + 2x) dy =0 - - -

A: The solution is given below in the next step:

Q: 1. Find the differential equation of the family of circles of radius r whose centre lies on the…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: 3. Given that y = 1 when x=-1, find particular solution to differential equation dx dy – 3x²y² =…

A:

Q: 9. The differential equation (3y cosx+4xe" + 2x'e' dx + 3(sin x +1)dy=0 is exact because aN

A:

Q: 1) Find the general solution to the following differential equation. dy + y (cotx) = 5e* dx

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: The solution of the following homogenous differential equation y' = - x+y -is

A: We find the solution of the homogeneous differential equation y'=yx+y

Q: 13. Obtain the differential equation of the family of straight lines at a fixed distance p from

A:

Q: obtain the solution of the following differential equation y'=cos^2x cosy

A: Given differential equation is: dydx=cos2xcosy Use variable separable to get solution of…

Q: 12. Set up the integral to solve the differential equation below: dy -= ay²e-br dx

A:

Q: (D² + 1) y = x cos x

A:

Q: - Find the differential equation associated to the equation: y=C₁e sin x + C₂e cos x

A:

Q: 4- Solve the following differential equation: (1 + x²)dy + (y − tan−¹(x)) dx = 0 -

A: Given: The differential equation is 1+x2dy+y-tan-1xdx=0 To find the general solution of the given…

Q: dy dx 2x* + ху ||

A: dydx=y22x2+xy is given equation multiply each variable by λ dydx=(λy)22(λx)2+λx×λy since there is no…

Q: 2 sin x Show that y is the solution of the differential equation xy'+y=2 cos x.

A: