y' - (2 cot x)y = – sin³ x |

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

A: Solve the above questions

Q: Find the general solution of the differential equation. (Enter your solution as an equation.) y2y' =…

A: Given To find out the general solution , replace y’ by dy/dx Then use integration and solve for y

Q: Find a function of the differential equation: y = x²-2 sin x

A:

Q: d) sin(x)y' + cos(x)y = tan(x)

A: We have to solve

Q: ta 2nd order differential equation whose general solution is y = cie" cos (4r)+cze¯1# sin (4r).

A: This problem is based on the topic of formation of differential equation by eliminating the…

Q: Solve the differential equation:+ y = e-* sin x 2

A:

Q: Solve the differential equation. y' - sin x = xe - y•cos x

A: y' = xe-sinx - y cosx Rewrite this , we get first order linear differential equation: y' + ycosx =…

Q: y using an integrating factor, find the general solution of the differential equation dy/dx…

A: Given differential equation :                          dydx-ytanx=sinx

Q: dy + ( 1+x)y = e -× sin2x dx

A:

Q: Form the differential equation whose primitive is given by y= ex(a cos⁡x + b sin⁡x),  a, b, being…

A:

Q: Given the differential equation: D(sin x-cosx+3e +x) What is the second derivative?

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: Solve the differential equation defined by x dy/dx −2y = x^6 sinx.

A: Consider the provided differential equation,

Q: Solve the differential equation below: xcosydy+sin2ydy-dx=0

A:

Q: y' cosx f. -=cos y

A: The given differential equation is,y'cos2x=cosy

Q: Find the differential equation by eliminating the arbitrary constant/s. y = = Aex cos x + Bex sin.x…

A: We differentiate the number times as the number of arbitrary constants present in the equation and…

Q: find solution of this differential equation:  y′ tanx sin2y = sin^2 x + cos^2 y

A:

Q: Determine the solution to the differential equation given by: y''-2y'+y=sin x

A:

Q: Given the differential equation: D(sin x-cosx+3e* +x) 1. What is the second derivative? a. - sin…

A:

Q: Solve the differential equation. dr sin 0- do +(cos 0)r = tan 0, 0<0<,

A:

Q: 2. Solve the differential equation dy -e2y-cotx tan x dx

A: On differentiating the given equation, tan2 x.dydx=e2y.e-cotxe-2ydy=e-cotxtan2x.dxLet, cotx=t…

Q: Solve the higher differential equation below; yiv - y = 2 cos x

A: The given differential equation is yiv-y=2 cosx The auxiliary equation is  m4-1=0. On solving,…

Q: Solve the differential equation x sin

A:

Q: (3sin y – 5x)dx+2x² cot ydy = 0

A: Given 3siny-5xdx+2x2cotydy=0

Q: xcosydy + sin2ydy – dx = 0

A: First arrange it in the bernouilli equation then find its integrating factor. Then  use the formula…

Q: Find the solution to the differential equation dy/dx=19xy/(lny)4 which passes through the point…

A: Separate the variables than solve the differential equation by integrating both sides.

Q: verify that the indicated function is an explicit solution of the given differential equation…

A:

Q: dy cos(x). + y sin(x) = sin²(x) cos(x) y³ dx

A:

Q: Solve the first order linear differential equation. dy - (cotx)y = sin³ | dr

A:

Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) = c₁cos(x) +…

A:

Q: Y = CI cos 3x + C2 sin 3X

A:

Q: general

A: Please refer to the image below

Q: Find the general solution to the differential equation y = x² tan(y) y = help (formulas)

A: Solution: The objective is to find the general solution to the given differential equation

Q: Solve the differential equation y y' = - + sin sin ()

A:

Q: Solve differential equation by variation of parameters y"+9y = sin?(3x)

A:

Q: Verify that the indicated function is an explicit solution of the given differential equation.…

A:

Q: Find the differential equation whose solution is                    y = A cos 8x + B sin 8x

A: We have to find the differential equation whose solution is  y = A cos 8x + B sin 8x  Here ,  2…

Q: Write the first-order differential equation in standard form. (Use yp for y'.) y' = x7y + sin(x)

A:

Q: Solve the differential equation y ' = 2 sin x cos x

A: Given the differential equation as Use the 2A formula from trigonometry which states

Q: Solve the differential equation y'=tan(x+y)

A: Integrate for solving

Q: 2. Form the differential equation having y=(sin-x)²+ A(cos-lx)+B. where A and B are arbitrary…

A: Introduction :

Q: Find a function of the differential equation: y' = x3-2 sin x

A: topic - differential equations

Q: Solve the differential equation tan x- dy ey-cotx dx

A:

Q: 3. y'+y tanX = secx

A: topic- differential equations

Q: dy_ y²sec² (-) tan (-) dx x2

A:

Q: Find the differential equation corresponding to y=acos(logx) +b sin(logx)

A:

Q: )(I + cos x) y Sin?x + Sin? x cos x -y sinx

A:

Q: y'tanxsin2y = sin²x + cos²y

A: Assume t=cos2y then differentiate both side with respect to x to find dtdx .…

Q: siny dx + (x – sin? y)dy=D0

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.