Evaluate the given differential equation cosy sin2x dx + ( cos²y – cos x)dy = 0 A. cos x (1+ siny) = cosy(y – cosy + C) B. cos x (1+ siny ) = cosy(y – cosy + C) C. cos x* (1+ siny ) = cosy(y – cosy + C) D. None of the above

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A: Given the ordinary differential equation is  2x-tan17xy'''-x2y''+18y'=18sinhx+16

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Q: 5. Cx sin y +x²y = Ay

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A: Equation is exact for the values a= 5 and b= -1 Therefore option C is correct

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A: By the using rule of particular Integral we can find integral

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A: Giveny=Asin(2x)-5cos(2x)   ----{1}

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Q: The solution of the differential equation using variable separable +8 sec y = 0 is da dy O siny = 8x…

A: Divide by secy and multiply by dx the get the variable separate

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A: To Determine :-  The second order differential equation : y'' + 25y = 5 tan2  5x cos  5x

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

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Q: Solve the exact differential equation (n y - y sin x -без)dx+(, + cos x + 5 seс y tan y - 6у)dy %3D…

A: Here we have to solve the given exact differential equation.…

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A: Given differential equation:(tanx)dy-(4ylny-ytan3x)sec2xdx=0To find: General solution of the…

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Q: 3. (cosy + ycosx)dx + (sinx – xsiny)dy = 0

A: Given: cosy +ycosxdx +sinx-xsinydy =0 ⇒cosydx +ycosxdx +sinxdy-xsinydy =0

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Q: To solve the ordinary differential equation dy 3+5y' sin x, y(0)= 5 dx %3D by Euler's method, you…

A: we have,3dydx+5y2=sinx, y(0)=5

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Q: Solve the differential equation as shown below; dy = [rosytan 1 cosx Lcotytanx dx cosy A siny?=…

A: For the solution of the problem follow the next steps.

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A: A Diffrentaial equation in the form :-  M( x, y)dx + N(x, y) dy = 0 is an exact  if,   ∂M/∂y =…

Q: What is the general solution to the differential equation (tan x)dy – (4y In y – y tan³x)sec²x dx =…

A: We will convert given differential equation into linear differential equation by appropriate…