8) The Bernoulli's equation += dz NIH 2 218 I can be reduced to which linear differential equation? 3 3 dz d) NIH 2

Q: 7) Determine the particular solution to the differential equation y 3x-2 that passes through the…

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Q: Find the general solution of the differential equation: 8xy'-2y x² y² Use lower case c for the…

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Q: 3) yy +x²(sinx)³ = y³cotx %3D

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Q: AJ'Solve the Differential Equation + w?y 0

A: Given: d2ydx2+w2y=0 So, we can also write as: D2y+w2y=0D2+w2y=0 So, the auxiliary equation is:…

Q: The single Solution of the differential e quation y=Px+ Cas (P) a) (-Y +* sin'slu? b) (-y - X…

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Q: Solve the equation difFerential Ci+ x) y' + y = Jx %3D

A: Given differential equation is,

Q: d²y dy d³y dx + a1' dx² + aoy = 0 dx + az° x³

A: Let y=eλxGiven: The differential equation:a3d3ydx3+a2d2ydx2+a1dydx+a0y=0To show: y is the solution…

Q: Solve y" - 5y" +19y' + 25y = 0

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Q: Find the solution of the differential equation (1+x* )y'+2.xy – 4x°y° = 0 (Bernoulli) %3D

A: We will find out the required general solution .

Q: dy +y 4)/2=x

A: Consider the following substitution: xy=u   ⇒   xdydx+y=dudx        and        y=ux

Q: Solve the differential equation y''''+y''=3x2+sinx-2cosx a) what is the complementary solution b)…

A: We have to solve the differential equation y'''' + y'' = 3x2 + sinx - 2cosx a) Complementary…

Q: (x²+y)dx + dy 0

A: This linear differential equation

Q: y = Ax2 + Be-* Find the differential equation by eliminating the arbitrary constants. *

A: Given equation is  y= Ax2+Be-x  We have to find a differential equation by eliminating arbitrary…

Q: a) Solve differential equation dx + 2 dy x³ cos y %| - y

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Q: Given the differential equation dy _ (4x + y)(x + y) dx x > 0. x² a) Find the general solution of…

A: The given differential equation is                           dydx= 4x+yx+yx2,   x>0 we solve the…

Q: Find the order and the degree of the differential equation cos x COS X A 2,4 B) 5, 8 © 5,4 5,2

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Q: Solve the following two Euler's differential equations: (a) x²y" - 7xy' + 16y = 0 (b) x²y" + 3xy' +…

A: The given Euler's differential equations are a) x2y''-7xy'+16y=0b) x2y''+3xy'+4y=0

Q: Question 3 : 2y!ly y" +2)=xy'k

A: As per the question we have the following first order exact differential equation : 2y'(y11 + 2) =…

Q: Consider the differential equation (y + 4)y' = gʻ-16). Is y = cx + 4 the GENERAL solution to this…

A: Simply solve the given differential equation and compare with the  given solution.

Q: Example 11 : Find the equation of the curve satisfying the differential eguatio- dy (1+x?)+2xy= 4x²…

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Q: 3. Solve the differential equation. (a) x²y' = xy + 3y²

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Q: Solve dy dx x+ V xy

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Q: x³y" + 3x?y" = 2x +1

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Q: Find general solutions of the differential equation (a) 9y(³) +12y" + 4y' = 0.

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Q: dy — 2хе* — у + 6х? dx у+ бх2

A: We will find out the required general solution.

Q: Solve (D² + 4D + 5) = 0 ,y(0) = 1 ,y'(0) = 0. %3D

A: Differential equation

Q: Consider the second order differential equation with initial conditions u" 2.5u' + 6.5u = = -7.5…

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Q: Find the general solution of the differential equation: x² 7xy'-2y= Y = yo Use lower case c for the…

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