Solve the differential equation as shown below; dy = [rosytan 1 cosx Lcotytanx dx cosy A siny?= sin2xln(csinx) B siny= sinxln(csinx) C siny= sin2yln(csin3x) sin(y-1)= sin(x+2)ln(csiny) E sinx²= sin2yln(cxsin(x+y)) F sin2y= sin(x+y)ln(csin(y²+x²))

Q: The solution of the differential equation tan xdx + tan ydy = 0 is

A: Using variable separable method.

Q: Solve the differential equation: sin(2x)cos(y) − sin(y)sin2(x)dy/dx = 0

A:

Q: solve the differential equation using bernoulli's equation dy + ydx = 2xy2exdx

A:

Q: Solve the differential equation (cosxcosy - cotx)dx - sinxsin ydy = 0

A: Solution of differential equations

Q: y = Ce2*cos3x + C2e2xsin3x

A:

Q: sinx dy = 0 y cos xdx + 1+

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: Find the differential equation of the family of cardioids r= a(1+cos 0).

A:

Q: Given the differential equation 2 y" + 18y = 6 tan(3x) Determine the value of u2. AH2 "3 =" 9*…

A:

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

A:

Q: Solve the differential equation: sin y (x+siny)dx+2x2cosydy=0

A:

Q: Obtain the general solution of the given differential equation: tanydy = sin3xdx

A: The given differential equations tan2y dy=sin3x dx⇒sec2y-1 dy=143sinx-sin3x dx    As…

Q: y ln x In y dx + dy = 0

A: Given:  y(lnx)(lny)dx + dy = 0 => (lnx)dx = -dy/ y(lny) The above differential equation is of…

Q: Obtain the differential equation by eliminating a and b from the rdation y=a cos 4x +b sin 4x

A: Given equation is y=a cos4x + b sin4x find out the DE by eliminating a and b

Q: Solve the given differential equation by undetermined coefficients. у" - бу" %3D 2 - cos(x) y(x) :

A:

Q: Find the differential equation by eliminating the arbitrary constant  sin-1x + sin-1y = c

A:

Q: Form a differential equation from the given function. y = Asin(2x)-5cos(2x)

A: Giveny=Asin(2x)-5cos(2x)   ----{1}

Q: State the order of the given ordinary differential equation. (sin 8)y"" - (cos 8)y' = 2 Determine…

A: Part 1: Given the ordinary differential equation,                                               (sin…

Q: (4r + 5)2 2- + tanzy= dr COSI

A:

Q: Solve the differential equation [cos (2y) — 3x²y²] dx + [cos (2y) - 2x sin (2y) - 2x³y] dy - a. sin…

A: Given: cos2y-3x2y2dx+cos2y-2xsin2y-2x3ydy=0

Q: Solve the differential equation dy/dx=2x+sin3x.

A:

Q: The standard form of the differential equation cosx y' + cosx y = x sin x is: None of the above O…

A:

Q: Solve the differential equation. 10. ( cos 2y – 3x^2y^2) dx + (cos 2y – 2x sin 2y – 2x^3y) dy = 0

A:

Q: Solve the given differential equation by separation of variables. dy = sin(3x) dx

A:

Q: 2y' – 5y = sin2x – 7cos2x

A:

Q: Form the differential equation for the function x+2y=a sin3x-bcos3x

A:

Q: Obtain the general solution of the given differential equation: dy = cos²xcosydx

A:

Q: An ordinary differential equation of a horizontal string which is freely pinned at both ends is…

A: Given problem is :

Q: Obtain the differential equation whose general solution is y= a sin 2x b cos 2x, where a and b are…

A:

Q: solve the differential equation using Bernoulli. xydx+(x2-3y)dy=0

A: Given differential equation is  xydx+x2-3ydy=0 which can be written as…

Q: Solve the differential equation (cosxcosy – cotx)dx – sinxsinydy = 0

A:

Q: Show that the differential equation (- y² – y sin r + x²)dx + ( cos x – 2xy – 2021y²) dy = 0, | is…

A:

Q: Solve the first order differential equation. dy - y ln(y ecos x) dx = y sin xdx

A:

Q: Construct a Differential Equation for the given equation y = a sin3x + b cos3x, by eliminating the…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: An ordinary differential equation of a horizontal string which is freely pinned at both en is given…

A: In this question, we solve for deflection in a string by the help of a given second-order…

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

A:

Q: Solve the differential equation 3y + 3y (sin-¹x)√1-x² : 1

A: The given differential equation is 3y'+3ysin-1x1-x2=1.

Q: Solve the differential equation as follows: (6xy* – sin x tan y)dx + (12x²y³ + sec? y cos x – 5y²)dy…

A:

Q: y = C,e3x csc3x + 2C2e-2x sin3x + Cze* tan3x —2х

A:

Q: 5. Solve the second order differential equation, dx2 + 4+ 4y = cos2x, given y = 4 and dy :3 when x =…

A: 1f(D2) cos ax = 1f(-a2) cosax 1D X =∫X dx

Q: The solution for the differential equation dy dx tan-¹x 1 1+x² (et - y is

A:

Q: 3. Solve the Euler-Cauchy differential equation d²y dy 3x +4y= ln² x – In x dx² dx

A: Given an Euler-Cauchy differential equation, x2y"-3xy'+4y=ln2x-lnx Re-writing it in the standard…

Q: Determine whether the differential equation (cos(y°) – 2xy+ 2)dx – (5xy*sin(y³) + x²)dy is exact. If…

A:

Q: Solve the differential equation: y' = cos2(x)cos2(2y)

A: Here we solve the differential equationY'=cos2x cos22y

Q: dy 47. = cos cos 2x, y(0) = 3 dx

A:

Q: Verify that the function y (cos( 6x)) is a solution to the differential equation y = 6 sin(6 9e

A:

Q: The solution to the differential equation -y x cos(3x) - is: Select one: cos(3x) + cx2 O 3x² sin(3x)…

A:

Q: (sin y – y sin x) dx + (cos x + x cos y – y) dy = 0

A:

Q: Solve the differential equation by an appropriate method. d³y, dy dx3 tanx dx

A: Find the complementary function and particular Integral of the given equation. Its general solution…