Solve using variation of parameters: y" +y= cos r COS

Q: solve using the appropriate method. y' + (tan x)y = cos2 x, y(π) = 2

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Q: cos z) dz 4 5.

A: Given: - The indefinite integral is, ∫e2zcos14zdz To find: - The solution of the given integral.

Q: Differentiate. y = sec(e) tan(e) sin (8) y = cos(e)? 2

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Q: y = sin(x) at |0, 0, with four equally – spaced points

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Q: Use the method of variation of parameters to determine a particular solution to the given equation.…

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Q: Solve using the Method of Coefficients: y'' + 3y' + 2y = 7 cos x - sin x

A: The given differential equation

Q: 8. y = (cos 3x)V

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Q: Using Variation of Parameters 4y''+4=cos-1x

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Q: Find the solution of the given equation y'''+y'=tanx using Variation of Parameters

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Q: Solve d²y dx² cot x dy - sin² dx sin² x.y = cos x - cos³

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Q: Solve f 4x cos(3x) dx using Integration by Parts.

A: This is based on integration by parts

Q: // Show that y" + y = 0, given that y = 2 sin x + 3 cosx

A: First find the first and second derivative of the given function then simply put and simplyfy

Q: Show that y" + y = 0, given that y = 2 sin x + 3 cosx

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Q: y = cos(2x), y = sin x, 0<x< 2

A: Solution is given below:

Q: Q3) find the soluation of differention equation 2) y' sin 2x = y cos 2x

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Q: y=cos(4x) /cos22x-4sin2x cos2x differentiate?

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Q: rcosA 2. r sin 0 dz dr de

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Q: 1. Solve, using the method of variation of parameters: y" + y = sec 0 tan 0

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Q: -2 Ssin®(3x)cos(3x) 5 dx

A: Given, ∫sin53xcos3x-25dx We have to find the integration.

Q: 2x – sin y y' = x cos y

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Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. tan2y dy = sin3x dx

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Q: Differentiate: y = 8 cos (16x*)

A: Here we  must know about the chain rule ddx(cos(x))= -sin(x) ddxxn= nxn-1

Q: Find y' and y". y = cos(sin(90)) y' %3D %3D

A: We have to find

Q: Solve for the general solution, (cos x cos y – cot x) dx - ( sin x sin y )dy =0

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Q: What is the dependent variable in the equation dr + (2rcot0+ sin 20) d0 = 0?

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Q: Use variation of parameters to find the particular solution to y"+y' – 20y = - 3400 sin(3t) Y(t) = |…

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Q: dx cot 2x cos 2x 4,

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Q: dy Solve sin -1 | = x +y dx,

A: Sin-1(dy/ dx) = x+y =&gt; dy/ dx = sin(x+y).

Q: dr = b (cos(O)dr + r sin(O)dO)

A: Given dr = bcosθ dr+rsinθ dθdr(1-bcosθ) = rsinθ dθdrr = sinθ dθ1-bcosθintegrate on both sides to get…

Q: Find the value of zrr at the point (0, 3, 2) where x?y? + z2 – cos(xyz) = 10. -

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Q: 5. J sin42x cos22x dx.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Solve sin - () 2 dy = x + y

A: We need to use substitution method to solve this differential equation

Q: Find the solution of the equation cos y which tends to zero as x- 0o and has the value cos y when x…

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Q: Jntegrate 0 sin3x Cos?x dx

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: sin4x S V cos4x + 1 dx

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Q: Evaluate the intergrals. ∫ ex sin2x dx   show the complete solution. step by step

A: There are exponential function and trigonometric functions in the product in the given integrand.…

Q: Find y' and y". y = cos(x?) y' - -sin (x²) ( 2x) y" =

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Q: Find the solution of the equation Cos y which tends to zero as x - 0o and has the value cos y when x…

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Q: The solution of Sinx dx - x sinx+ y cosx= 0 is (y– 1) sinx =? A C-x sinx B C+ x cosx с-х cosx D C+ x…

A: sinxdydx-xsinx+ycosx=0sinxdydx+ycosx=xsinxddx(ysinx)=xsinx

Q: ) Solve to find if y = sinvt – t, and t = cos (2x) – secx dx

A: Given: y=sint-tt=cos(2x)-secx To find: dydx

Q: What is the value of S(cos 1 + V1 +r? sin?t cos -=/4 cos'r) dt ?

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Q: 3) Show that y" +y = 0, given that y = 2 sin x + 3 cosx

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Q: Solve, using the method of variation of parameters: y" + y = sec 0 tan 0

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Q: Find F(-1). 2e3t sin (2t) – 3e3t cos (2t) COS Round-off to 1 decimal place.

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Q: Find the solution of the equation Cos y which tends to zero as x → 0o and has the value cos y when x…

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Q: Solve f 8x cos(7x) dx using Integration by Parts.

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Q: y 3x+ 6 cosx, 0 £xs 2n

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Q: x = 4u sin v, y = 2u cos v.

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Q: Solve the fo llowing D.- E y + y tan X Cos X %3D

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.