Q2):For the formula of the Heating and Cooling below : T=(c".c)+20 a- at t=0, T= 100 , find c b- If t=5, T=60 , find k

Q: O Solve y' = x + y + xy, y(0) = 1 by choosing step length 0.2 for y(0.4) by Euler's modified ethod

A: Given y'=x+y+xy, y(0)=1 Take f(x,y)=x+y+xy, Using the euler formula, Since it is given that h=0.2.…

Q: 3. Two ships leave port at exactly the same time. Doria heads. north at 10 knots and Stockholm heads…

A: According to our Guidelines we cam provide solution of only 1st question please ask/upload remaining…

Q: et - Low e² + 3dt et +3 tana 2. G(x) =

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Q: spherical snowball melts so that its surface area decreases at a rate of 6pi  cm2/min, find the rate…

A: To find the rate at which the diameter d decreases when the diameter is 5 cm.

Q: pz/2 psin y xdxdy V1 -x? 2

A: The solution are next step

Q: al equation - y² , y(1) = 2 is hod with step siz nd off to 2 place

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Q: Use the method of reduction of order to find a second solution to ty'" (6t- 4)y' + (9t – 12)y = 0, t…

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Q: 4. In ARST, RU US and RV VT, If UV, the midsegment, is equal to 2x- 2 and ST = 8x - 28, find the…

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Q: Sheldon is trying to fry Leonard’s brain and is channeling a circular radioactive wave whose radius…

A: Given that: Rate of increase of radius = 7cm/s                   Location of Leonard = 250 cm east…

Q: Q₁ /Find x, y E R for: -i+1 2-i c) √

A: To find x, and y for the below complex number. −i+12−i

Q: 5. Show that T = + y? satisfies the equation T + Tyy = T³

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Q: B. Determine the isogonal trajectories of the circles x? + y? = c if the angles of intersection are…

A: Determine the curves which intersect the origin-centered circles at an angle of  45 ∘ .  The…

Q: For what values of r does y(t) = ert satisfy y′′ − y′ − 6y = 0? (Show all steps

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Q: – kz = 0, -z= 0, solution then

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Q: 40e5*, y(0) = ;, y'(0) =y"(0) 9. y" – 2y" + y' = 2 – 24e* + 2

A: Given: y'''-2y''+y' = 2-24ex+40e5x, y(0) = 12, y'(0)=52, y''(0)=-92

Q: 3. In the following equations, find the values of C1 and C2 so that the given functions will satisfy…

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Q: Q4: Solve by using Separation of variables method? ди =k - for 0 0 at ´əx² u(0,t) = u(L,t) = 0 for…

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Q: Find for the following by using appropriate rules: dx i. y = Vt , x= ++1

A: Differentiate y and x w.r.t 't' And, Recall quotient rule

Q: Q2: Find the aren bounehd by y=x and y =X+2

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Q: For the solution: y(t) = C1e-t + C2e5t solve the IVP. First for: y(0) = 1 and y'(0) = 0 Second…

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Q: C. Solve for x, y, .<NOQ & M<POQ. Show complete solution. M (y – 12) (3y – 8)° (6x – 32)° P (2x –…

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Q: Q2. Solve one of the following equations; a- Given u(x, y) = x? + 2y. Where, x(r,t) = rsint and…

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Q: b) Now, start with the exact same equation as before, i.e. Vz+ Vj= 5,

A: Given  x^(1/2) + y^(1/2) =5

Q: The reverse order of J Só 3xe dydx is equal to 2(e - 1) е - 2 -e

A: After changing the order of integration, solve it.

Q: 3. (D² +4D+4)y =0

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Q: Q2) Solve the following equation Cauchy Euler Equation Method 2a?b" + 3ab' – 15b = 0 where, b(1) = 0…

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Q: In the diagram below, given that XY 3cm, XZY=30° and YZ =x. Is it possible to solve for x using the…

A: The Pythagoras theorem states that in a right angled triangle, h2=p2+b2 , where, p is the length of…

Q: 29. If VT bisects ZSTU, solve for x. T Зх + 2 12 U S V 33 Your answer

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Q: Evaluate the approximate value of f (2æ² + 2) dæ at n = 3. Solve also for TV and percentage of…

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Q: HW solve by Picaved method (up to third upprotination) =X+yz yco)=0 esed teed Find yco-l)? Too 20

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Q: The temperature inside a room is given by T(x, y) = x4 + y4 – 4xy+4. Find and prove the location(s)…

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Q: 'ain(t -플)') co여(t- dt

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Q: solve the following D.E ,t<3 y" – 3y - 4y =- , y(0) = 0, y'(0) = 0 : ,t23

A: Here we will use Laplace transform method to solve the given differential equation.

Q: Q5) Solve the following using Trapezoidal rule with n6 f(x) = f*xinx. dx

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Q: Q5) Solve the following using Trapezoidal rule with n=6 2 f(x) = [²xtnx. dx 0

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Q: Solve for w T Submit 9w - 54 3w +24

A: Apply the property of circle

Q: The number of parts produced per hour by a worker is given byN = 4 + 3t2 - t3 Where t is the number…

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Q: 3 By using the first principles, differentiate (x)= 3 S'(x) = %3D Answer: 2x2

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Q: Q4) find the soluation of differention equation using exact equation 2) 2xy' = 10 x³y² + y

A: Given differential equation is 2xy'=10x3y5+y The above differential equation is solved as shown…

Q: Solve y' + y = f (t) with y(0) = a, where f (t) is shown on pg 577, #37 (sawtooth wave)

A: As the Laplace transform of the function f(s) is given in the question, will use Laplace transform…

Q: Q3) use Euler and modified Euler to solve and compare these values with exact solution y + 2xy? = 0…

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Q: R: Given the IBvp の o<xcL Solve for 4(XE).

A: Using separation of variables and superposition principle

Q: Q2. The horizontal distance that a projectile will travel in the air is given by the equation sin…

A: If sin x=y, then it can be written that x=sin-1y. The value of g is 9.8 ms2.

Q: Find the value of k so that the value of (2y - 1) dy is 10.

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Q: Use the method of reduction of order to find a second solution to ty" - (4t – 4)y' + (4t – 8)y = 0,…

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Q: Q:: A- Solve for X, e2x + 2e* +1 = 9 B- Use the Trapezoidal rule with n=2 to estimate fdx, to find…

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Q: Use the Convolution Theorem x{t ['re=1 or} Lt те-т 3s +1 2 S s² (s+1)³

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