4. Find the general solution to the differential equation y" + 4y = cos 2x (where y' = ) dx

Q: 5. Find the solution of the differential equation y =- xy + xy³ (Bernoulli)

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Q: 3. Solve the differential equation by using integrating factors. sin(x)y' = y + 2x y(x) =

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Q: y' + xy = 6x/y . %3D

A: y' +xy =6xy1/2 it can be written as  y'y+xy=6xput y=ty'y =dtdxequation become dtdx+tx =6x

Q: I. dy tan(x) dx Cos (x) + x²

A: Given equation is dydx=tanxcosx+x2   What is the best way to solve the First Order Differential…

Q: y' + y² = 3y tan x tan? x + 1

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Q: 10. Solve the differential equation by variation of parameters y" + 9y = 9 sec²(3x)

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Q: 3. Solve the given differential equation d?y dy – 3 y = x ² (In x ) dx 2 dr

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Q: Find the general solution to the differential equatio y" + 4y = cos 2x (where y' = ) dx

A: When the right-hand side of a higher-order linear differential equation contains a function of the…

Q: Solve the following ordinary differential equation y"+7e%y'+y=sinx

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Q: Solve the given differential equation dy

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Q: 2) Use the quadratic formula to find the exact solution to the given equation. (Enter your answers…

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Q: 9. Find the general solution of the differential equation y" - 2y' = sin 4x.

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Q: 4. Find a general solution to the equation y' – 3y = e" sin(2x). -

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Q: y" +y = cos x ; when x = = 0, y = 0,y' = 1 %3D

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Q: Solve the following differential equation, (s x)+(cos x) y = 3 sin x with the initi al dx condition…

A: Given differential equation is (sin x)dydx + (cos x)y = 3sin x

Q: 4. Find the general solution of the differential equation ry'(x sin y + y-') = 1

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Q: Find the general solution of the following differential equation: (x^2 + 1)у' + 6ху -х

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Q: Solve the differential equation dy dx 4y² X 9 y(1) = 1 58

A: The given differential equation dydx=4y2x, y1=158. We have to find the solution to the differential…

Q: Q4: Find the general solution of the differential equation y'+ (tan x)y = sec2 x %3D

A: