A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation. 11 y'' = 2y +11 cot³x. Yp(x) = cotx The general solution is y(x) = (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)

Q: y'=(9x+4y+1)2

A: Solution : I have used basic rule of differential equation.  For detail analysis please see both the…

Q: Q/find (2xy? -2x² y4 xy2+2x)dx+(3X=y?e4yldyco an int egratinagfactor theequation and find the…

A: Given the first order differential equation           2xy3-2x3y3-4xy2+2x dx+3x2y2+4y dy=0 Find the…

Q: Solve the second-order equation xy" + 2y' 8x? by making the substitution u -y'.

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Q: y"" + 3y'' − 4y = 0. Find y . Please check the equation carefully and then start

A: We have given equation y''''+3y''-4y=0   Auxiliary equation of differential equation is  m4+3m2-4=0…

Q: Find the general solution af the equation, y' = x(1- y).

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Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

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Q: 2²y" - 4.xy+6y= 0, y(2)=0, y'(2) = 4 %3D

A: The differential equation is given as x2y''-4xy'+6y=0x2D2y-4xDy+6y=0x2D2-4xD+6y=0 It is a Cauchy…

Q: d) Solve the equation for all roots x' +1 = 0

A:

Q: 5. Exact Equations: Solve the equation 3x (xy – 2) dx + (x³ + 2y) dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take y…

Q: Solve for Z. X= (Y-Z) 3

A: Given: X=23Y-Z We have to solve for Z.

Q: Eliminate the arbitrary constant. y=Ax 5+ Bx³ A B 7xy "- x²y + 15y = 0 D x²y '- 7xy "+15y = 0…

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Q: Solve for Y(s) and Y(t)

A: Y(s)=s4−10s3+61s2−360s+9006s3−55s2+217s−1986​ (PLEASE SEE DETAILED INFORMATION ON THE EXPLANATION…

Q: 4. y = Vesinx + 2

A:

Q: In Calculus you will see the symbol y'. Treat y' as a variable and solve the equation for y. 6y²y +…

A: To solve the following equation for y'. 6y2y'+30xy+6x2y'=5y2+25xyy'

Q: Solve y′′+ 9y = 3sin(3t)

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Q: Find the solution. y'+ ty = ty3

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Q: nonhomogeneous equation and a particular solution are given. Find a general solution for the…

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Q: y = sec- (Arcsec (V) + e %3D

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Q: y(5)_y(3) = e²+2x²-5 y(4) + 5y" + 4y = sinx + cos2x

A: Given: The equations are y5-y3=e2+2x2-5 and y4+5y''+4y=sin x+ cos 2x. The objective is to find the…

Q: Solve for y. x= (3y+5)/(7y-1)

A: To solve for .

Q: Exact equations: Solve * 3xy dx + (3x²y + 4y² ) dy = 0 xy3 + y4 = c y? + y* = c

A: No option match with above two options but i am sure about the answer

Q: Consider the nonhomogeneous differential equa 1 "(x) + y(x) = e '+ sin a

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Q: Solve y" - 2y" +9y' - 18y = 0.

A: Given differential equation: We have to find the solution of the given differential equation.