Consider the DE: cotx(y(4)) + 8e5xy""+y" = x5 a) Its order is b) Its degree is c) How many initial conditions are needed to find a particular solution for the DE?

Q: The equation sinh (5x - 2) a) 1.261 b) 0.627 c) 0.764 d) 1.619 = 3 has the solution to 3dp of

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Q: r(t) =(sin 3t, cos 31, V7t), 1. Let a) Find T(t) and N(t)

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Q: 1. John's cricket ball is hit up in the air, and its height is modeled by h =-3(t – 2)² + 12.5 where…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts  for…

Q: (c) Prove that 1, have equal roots if e= a'm +b °

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Q: Find the valves C) Land k i/s possible makes He unction that continous every where 7. it-1<tg 2t+t…

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Q: Q.2 Use ODE methods to solve the PDE: U₁+U₂=5, U(0, y) = −5,U¸(0, y) = 3y

A: Introduction: When the variable in a differential equation consists of a dependent variable that…

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Q: Show that the following relationships hold. a) (1+i)™sn[ = Sn+m[ ¯ Sm| b) än+1] = 1+ an] (m) (m), c)…

A: Considering the LHS (Left hand Side) : LHS=(1+i)mSn|¯ RHS=Sn+m|¯-Sm|¯ ( Right Hand Side)…

Q: Find x, y, z values according to x(i+j+k)+y(i-j+2k)+z(i+k)=2i+k

A: x(i+j+k)+y(i-j+2k)+z(i+k)=2i+k  =&gt;(x+y+z)i+(x-y)j+(x+2y+z)k = 2i+k Now, comparing the…

Q: Calculate the value of CoccoOHO)* (000000l) in GF (28) with mX)=x+ x+x*+X++ Please Somd a Complete…

A: Given that                                                           GF(28)=GF(256)m(X)=X8+X4+X3+X+1…

Q: If y=t3, then y(6)+y(5)+y(4)+(1/3)y'=y? What is the power of y? a) 0 b) 2/3 c) 1/3 d) 3 e) 2

A: Differentiation of y with respect to t can be given as:

Q: Q: Use Lagrange's Formula to Prove that : 1) Y₁ = Y3 0.3 * [Y5 - Y-3] +0.2 * [Y-3 - Y-5].

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Q: Find a such that the distance from (−1, 2) to ax − y + 9 = 0 is √5 units.

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Q: 3) Use the methods below to find V1-x²dx a) Try u-substitution. Explain why it will not work. b) Use…

A: a) There is no other x outside the square root, so that -2x could cancel.  So u-substitution will…

Q: 5) The electrical Power given in Watts (W) produced in a certain battery is given by P= 144 r (r +…

A: Given that the electrical power given in Watts (W) produced in a certain battery is given by ,where…

Q: Solfe Linear differential equa bien 1) XY²+ (1+x) Y=e* 2) 5 = 2X + (x + 1)² 27 X+1

A: Since you have posted multiple questions , we will provide the solution only to the first question…

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Q: B. Given the graph of y= r(x), we can see that r(x) < 0 and r'(x) <0 at the point labeled: B 1 20 10…

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Q: = (e+ tan())“ then what is the value of y' (0)? a) 0 b) -1 c) 1 d) -2 e) 2 191 a) a b) c) C d) d.

A: To find the derivative of y

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A: The definition of ∆lw is∆lw = l+∆lw+∆w - lw                        (1)The graphical representation…

Q: Q2] Assume a proper values for the equation: Ax²y" + Bxy' + Cx²y – 25y = 0 Then find the value of…

A: Given differential equation is Ax2y''+Bxy'+cx2y-25y =0Let us take A =1 , B = 1 &amp; C=0we…

Q: a) 2 sinh2 x + 8 = 7coshx c) z? + 2v3iz - 4 = 0 |x|+1 b) 2|x – 2a| where a is |xl-1 positive…

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Q: Utt = 9uxx, u(0, t) = u(1, t) = 0 u(x, 0) = sin 2πX Ut(x, 0) = sin 3πX 0 0

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Q: that value K, in a way RK-4 when solving the issue y' = Y-x Y+x , Y (0) = 1 where h=0.25 15:- a) 0.2…

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Q: 8. The number of people passing through a busy subway station is documented as 12 pm 3 pm 6 pm 9 pm…

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Q: 33 Let z=atbi e C with a,belh and i the imaginany unit and define M28= Q -6 a Show that a) Vze C…

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