Q: Q3) Solve the following boundary value problem using finite difference method dy +2y = 0 dx y(3)=…
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Q: cos (2t + ) dt e21–3 %3D 4 -3 4 64e3 7.
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Q: Suppose f(0.25)=f(0.75)=b. If the Composite Trapezoidal rule with n=2 gives the value 4 for \int_0^1…
A: Introduction: The trapezoidal rule is a method to approximate a definite integral numerically. In…
Q: Q1/ Evaluate So (x² + 3y²) dy dx using Simpson's 1/3 rule in x-axis and Simpson's 3/8 rule in y axis
A: 1 Given integral is ∫03∫01x2+3y2dydx. We have to evaluate the given integral by using Simpson's 13…
Q: dy Find at t = a where dt 1 7. у %3D = 3s + 2 and s t2 when a =1. + 4
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Q: Q2. Show that dx ax + by di dy = cx + dy di can be written as + yx = 0
A: The given system of differential equation is. dxdt=ax+by ......1dydt=cx+dy…
Q: ven f(x,y) = -2xy² where x = 5t and y = 8t2. Findf' (t) at t = 3. %3D
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Q: b. Find the value of V1- 0.162sin²x dx using Simpson's 1/3rd rule, taking 6 equal subintervals
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Q: dy Let y = (x2 – vx)4". Find using any method. dx -
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Q: Q) Find y" + 3y 5y at x-5 where y = xsin(1/cscx))
A: NOTE- AS THE SECOND QUESTION PICTURE IS NOT CLEAR SO I AHVE DONE ONLY FIRST QUESTION. IF YOU WANT…
Q: Q8. Using 1/3 Simpson's rule with h = 0.1 estimate (x - 3x2 + 2). dx
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Q: 4. Find dy and Ay for y = 3/ – I+ 2x at r = 2 with da = Ar = 0.2.
A: Consider the following information: y=3x-1dx=∆x=0.2 Differentiate y with respect to x: dy=32x-1dx dy…
Q: Q9/ use the chain rule to express dy/dx in terms of x and y and choose correct answer. 1 x = t2 at t…
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Q: Q4) Find y" + 3y' 5y at x=5 where y = xsin(1/cscx))
A: Solution:-
Q: dy/dt= 2e-t/8, t is greater than or equal to 0
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Q: Q3) Solve the following boundary value problem using finite difference method d²y dy given that 3- +…
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Q: dz Find- at t = n, if x=21sin' 12t + 170, z=19cos12t +190t . %D dx
A: The value of sin (npi) = 0 We will put t=pi in dz/dx
Q: Sin²y dy V1 -x, given that y(-3) = 0. dx 2) Snow that the general solution for (x2 +x-6)dy = 4y dx…
A: Given that The following differential equations
Q: 4. Suppose that z = x³y, x= t², and y = t³, find . dt = 12t11 dt 11t10 b) = 10t° dt d) = 9t® dt
A: This question is related to differentiation, We will solve it using given information.
Q: 4 J4- y ktx dy S[S( x, y) dA = [] 3 R 0 2- 2 2
A: Consider the given expression, ∬Rfx,ydA=∫04∫2-y24-yx2-x33dxdy This suggests that the region spans…
Q: 2 4 Q3) Evaluate the integral || xe" dy dx 0 x?
A: LetI=∫02∫x24xey2dydxchange the orderI=∫04∫0yxey2dxdyLet∫0yxey2dx=x∫0yey2dx∫0yxey2dx=ey2[x22]0y…
Q: What is the antiderivative of 1 / (x - (1/k)x^2) with respect to x? k is a constant
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Q: Q4) Use the chain rule to express dy /dx in terms of x and y t2 y = t2+1 and t = 3x3 – 3 where x =1
A: Given y=t2t2+1 and t=3x3-3 and x=1
Q: Q2/Find the value of the integral dx 1+x² by using simpson method (n = 6)? 3
A: Find out the value of the integral using the simpson 1/3 method.
Q: Y 30 ΨΥ Ỉ2 2 47 13 23 24 με χ ΕΙΝΑΙ Fino η Exy. ἐκ ἔγ In ex² - (Ex)^ in [y- (fy) th nexy- έχτι…
A: Given information: X Y X^2 Y^2 XY 27 30 729 900 810 44 19 1936 361 836 32 24 1024 576 768…
Q: 5. Evaluateſ, x²y dx + xy² dy where C is given by: r(t) - 3t v(t) – et 0<t< 1
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Q: 2. If f(x,y)= te Vy of=D0 then show) that 49 c) of af =0 dxay
A: Consider the given function. fx,y=1yex-y24y (i) First, we have to show that ∂2f∂x2-∂f∂y=0. First,…
Q: Find the total differential z = 5x3y2
A: The given function is z=5x3y2. Total differential: Let z=f(x,y) be continuous on an open set S. Let…
Q: Q3) Compute for y(x) = cos'(4vT)+ 5x and x(t) = 4 at t=1
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Q: d²s ds + dt 4t + 2cost where s = 0, ds/dt = 0, t= 0 dt2
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Q: dz Find dt(t=1,s=0) when z = 2x3 + 15y3, where x = t2 - s and y =t+ 2s2
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Q: Q) Compute for y(x) sec (2x) + 2x -1 and x(t) = 4cos(t) at t-1
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Q: dy a) If all of y = 4n2 + 5n + 1,x 3n + 2 find dx b) if yx2+Vx + xy? = 1 prove that = -at (1,-1)
A: Please see the answer below.
Q: c3 Q3/ Evaluate , S(6x³ + 6y²) dx dy using Simpson's 1/3 rule in x-axis and Trapizodal rule in y…
A: Given ∫23∫466x3+6y2dxdy
Q: Integrate f(x) = 0.5 + 20x + 3x4 from a=0 to b=3, given N=12 by using a) Simpson's 3/8 approximation
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Q: d ** If g(x) = [e² – In(2t + 1)]at , find g" (x) dx A ex- In(2x + 1) 4 ex - (2x + 1)2 B (c) none of…
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Q: Let y(x) be the solution of the IVP dy - (y - 3)'dx = 0, y(0)=2. Evaluate y(13).
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Q: Find a positive value of k for which y=sin(kt) satisfies d2y/dt2+16y=0. k=
A: Double derivative
Q: Find the total differential. z = 10x4y5 dz = (No Response)
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Q: 2. Solve the IVP 2x + y + 2xyy' = 0, with y(1) = –2. d (Hint: This ODE is neither first order…
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Q: Q2: Sdve the differential eqpeation d²y =20"t 9Sin 2x -2Cos 2x %3D
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Q: Find the exterma R-{ (ny ): xy zo} 2. F(xry) = x² +y?- メッ ×り
A: To find extrema first we differentiate the given function with respect to x and y, then after…
Q: Q4) Find y" + 3y' 5y at x-5 where y = xsin(1/cscx))
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Q: b. Find the value of V1-0.162sin²x dx using Simpson's 1/3rd rule, taking 6 equal subintervals
A: We apply Simpson 1/3rd rule it is given that six sub intervals must be mentioned so in the interval…
Q: Find the general solution to dw ol Sa'(t) = x(t) – y(t) + 3e'; ly'(t) = y(t) – x(t) + 2e'; (8) (8)…
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Q: 4. Find dy and Ay for y = 3VT-1+2x at r = 2 with dr = Ar = 0.2. %3D
A: The given equation is y=3x-1+2x. Given that x=2, dx=△x=0.2. Now,…
Q: #@3 g (x; y) = 7x3 - 49IXY + 7y3 Find and elassify all the extreema of the fine tion
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Q: Q5:- Find the integral dx n=8 using Trapezoidal method.
A: Given that: ∫15exxdx n=8 using Trapezoidal method.
Q: Q2) Solve the following problem over the interval from x = 0 to 1 using a step size of 0.25 where…
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Q: Q2: Evaluate the integral S Vx² – 2x + 1 · dx 3,
A: To Evaluate:
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