particular solution (y_p(x)) = y'' +y =cos(x)  Please answer in half an hour

Q: Solve y'y" = 1.

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Q: The y' of the given function is (1–2 sin? 4x) y

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Q: Find the solution of the equation y^' = (1+y) sec ⁡x + tan⁡ x. and, Solve the equation x dy - y dx…

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Q: find y' y=cos(3x)+cot(5x)

A: We have to find derivative of f(x),where f(x) is given by:

Q: y''+y=(1)/(cos(x)) Solve

A: Consider the provided differential equation,

Q: solve    y'''-y' = cosx

A: Given:       y'''-y'=cosx    Linear equation with constant coefficients…

Q: Using the Bisection Method, False Position Method, and Secant Method, what is the root? Use error =…

A: It's too lengthy

Q: olve: y=ln ln [cos2(3x)]

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Q: solve for y'. y=sin-1[(ax+b)/(bx+a)]

A: Sin-1x can be written as asin(X)   So we have expression as y=sin-1(ax+b)(bx+a) We have to solve for…

Q: 2, " cos“(x)sin*(x)dx

A: To find : ∫0π2cos6xsin4xdx

Q: If f(x) = sin?x, then f"(x) = %3D A 2cos2x B cos2x -sin2x D -4sin2x

A: Given, f(x) = sin2x For the given function , applying chain rule ,  First differentiate it as { xn ,…

Q: Solve 1- y y' = ² + cos(²)

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Q: Find the y'(0) when y = cos (sec²(2x))

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Q: Solve the equation y' = csc(x) - y cot(x).

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Q: f(x) = cos3(4x-1) Differentiate the equation

A: Given that: f(x)=cos3(4x-1)

Q: Solve y'-y cosx = cos x

A: We now solve the differential equation, y' -ycosx=cosx . This is a first order homogeneous equation.

Q: Solve (e' +1) cos x dx +e'sinxdy = 0

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Q: verify tan(y)/csc(y)=1/cos(y)−1/sec(y)

A: Given data:     The given trigonometric expression is: tan(y)/csc(y) =1/cos(y) -1/sec(y).     To…

Q: Solve y'' + y = sec2 x

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Q: solve  sin(x)dy/dx + ycos(x) = cos(x)[ex + sec2(x)].

A: Convert into dy/dx+p(x) y=Q(x)

Q: 1 = felan(4x*). sec²(4x²)xde 2

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Q: 3. Solve the following differential equation using the Method of Reduction of Order. Use…

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