Oifferen tial Equation show your complete solution 3.Cメ-Siny) siny dx =0

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A: we have to prove  the given statement

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A: Given: x=3+4sinθ, y=3cosθ-4 dxdθ=ddθ3+4sinθ = 4cosθ dydθ=ddθ3cosθ-4 = -3sinθ

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A: In the question it is asked to calculate the general solution for the equation y''=2y+10tan3(x)

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A: Given query is to find the value of tany.

Q: dy - x = x2 siny dx 3 -2 =-(-siny +cosy + Ce-y/?)*? ANSWER: x = + cosy + Ce

A: We will find out the required solution. Kindly note that there is misprints in question which has…

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Q: Q.3) Prove that L-1 ) =(coshat sinat + sinhat cosat) %3D 2a +4a

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Q: Consider the equation x2/ 9 + y2/ 4 = 1. (a) Use a graphing utility to graph the equation. (b) Write…

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Q: Arc length Find the length of the curve y = In (sin x), 6 2

A: y=lnsin x, π6≤x≤π2

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

Q: sin (0) cos(0) d0, cos (0) dө, u = sin(0)

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Q: S sin® y cos" y dy cOS

A: Given,  ∫sin8y cos7y dy

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A: Given, Our cycle of normal breathing takes place every 5 seconds. y=0.6sin2π5x We have a rate of…

Q: /' + y' = siny 1st order, 4th degree 2nd order, 1st degree O 4th order, 4th degree

A: Given: y'' + y'''' = siny

Q: #/3 cosy !! x siny dx dy

A: integrate the given function ∫0π3∫0cosyx siny dxdy solution let I=∫0π3∫0cosyx siny dxdy integrating…

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A: Derivatives of function

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Q: A tank contains 120 gallons of water and 45 oz of salt. Water containing a salt (1+-sin t) oz/gal…

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Q: 2 2. cos² ydy 1+sin y

A: The given integration is: I=∫cos2y1+sinydy   We know the common integral. ∫sinxdx=-cosx+C

Q: Evaluate the integral: cos(In x)dx SHOW WORK.

A: Given integral ∫cosln x dx We can solve by using substitution method

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A: We find value of Gamma (-2.2)=?

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Q: -3 |3 – 10|dx

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A: First order Linear differential equation is of the form: y'+py=q…

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A: Given: two functions- y=sinxy=cscx

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Q: cos20 iii) modulus of complex -(sine)2 -i equal to

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Q: 5 8. ſ cscz x cot³ x dx

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Q: sin 0 do

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Q: Use Newton's method to approximate a root of the equation 2 sin(x) = x as follows. 1 be the initial…

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Q: cos2tdt 6. S- (1+sin2t)* 7. S tanßsec?Bdß 8. S(tane – 1)²de cos?ydy 9. S (1-siny)

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Q: Use trigonometric substitution to integrate z9-47² dx. Using a formula from an integral table does…

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Q: evaluate the integral.

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Q: 4. Find the Sine Function equation with: Amplitude = 5 Equation of centre at y= - 2 and Phase shift…

A: The understanding of trigonometric equation is required in order to understand it better.

Q: 2.4 Evaluate the following integral : E sine Cos op -sin? 2

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Q: The vertical displacement of an object fired at an initial velocity v and an angle of elevation at…

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Q: sin y dy cos? y

A: This question is based on Indefinite Integral.

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Q: Arc length Find the length of the curve y = In (sec x), for 0 <xs #/4.

A: Given that: y=ln(secx)    for   0≤x≤π/4

Q: =0, = COSX: 4. (スースはー %3D

A: We are given an Initial Value Problem: y'''+xy''+x2-xy=xex+1 ……1 with initial conditions y0=y'0=1,…