The solution of the following separable differential equation (y − 4) 4 = (x – cosx)(y +1) is: " }ln(y2 + 1) – 4tan-Ây = -cosx+c b. ln(y² + 1) -4tan ¹y = - sinx + c c. In (y² + 1) - 4sin-¹y = d. None of the - sinx + c

Q: Consider the differential equation y'' + 2y' + 50y = 0. (a) Verify that y₁ = e Y2 = e sin (7x) are…

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Q: 1 y = e*(C, cos2x + C2sin2x) –xe*sin2x a. 2 b. y = e*(C, cos2x + C2sin2x) +xe*sin2x 1 y = e*(C,…

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Q: For each of the following differential equation find all equilibrium solution and determine whether…

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Q: Find the value of a and b for which the given differential equation is exact: *siny + (a - 3)ysinx)…

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

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A: Option A

Q: The differential equation y"" +9y' = xsin x + x²e²x is given. Which of the followin is definitely…

A: Given differential equation

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Q: Evaluate the given differential equation cosy sin2x dx + ( cos²y – cos x)dy = 0 A. cos x (1+ siny) =…

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Q: Solve the differential equation by variation of parameters. y"+y = n²(x) xx) = c₂cos(x) + csin(x) +…

A: The solution is given as

Q: Solve the ordinary differential equation 3xy" + (2 - x)y' - 2y = 0. Then evaluate the first four…

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Q: Form the differential equation by eliminating constants a and b from y = a(b – z)(b+1) + 52. %3D

A: In this question, the concept of the differential equation is applied. Differential Equation A…

Q: Which of the following is a linear differential equation? O sin(x)y' + cos(y) = 3x O y - 2y = In(x)…

A: Given that, There are 4 Differential equations , and we cave to find the Linear Differential…

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Q: Solve the differential equation by variation of parameters. y" + y = sec (0) tan(0) y(0) = c₁cos (0)…

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Q: The solution of the separable differential equation – x²y² = x² is: dx None of the above…

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Q: Find the solution r(t) of the differential equation with the given initial condition: r'(t) = (sin…

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Q: Find the general solution of the following differential equation: a) t * dy/dt = (1-y^(2))^(1/2).…

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Q: Evaluate the given differential equation y' tan x sin 2y = sinx + cos?y A. sinx (sin x + cos x) = C…

A: Differential equation

Q: Solve the ordinary differential equation  3xy” + (2 - x)y’ - 2y = 0 . Then evaluate the first three…

A: Given differential equation is 3xy''+(2-x)y'-2y=0                         (1) ⇒y''+2-x3xy'-23xy=0…