Let y'=sinxy and y(0)=2 Approximate y(4) using Euler's method with step sizes of .25

Q: Find the linearization of the function f (x) = x' at x = 1. L (x) =

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Q: 7. Evaluate Soy4 2 - y dy using Gamma/Beta function.

A: The solution is given as

Q: Find y' and y". y - In(x + VB+ x²) / 8 + x² 1 y' = V 8 +x2 y" II

A: Given: y=lnx+8+x2

Q: Find y as a function of x if y(1) = 8, y′(1) = 6. y = x²y" — 6xy' – 8y = 0,

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Q: Suppose the slope of the tangent lir

A: Given that the slope of the tangent line at any point on a curve is…

Q: consider y'=-2y,y(0)=1 and analytic solution is y(x)=e^-2x a.Approximate y(0.1) using two steps of…

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Q: Find G′(w) if G(w)=5/ 9w^5 +7 sqaure root w. G'(w)

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Q: find y(x) for x2y'-2xy=3x with y(1)=3

A: Given,         x2y'-2xy=3x  with y(1)=3

Q: In this question, we are going to estimate the value of (6/5)^1/3 without a calculator, with the…

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Q: 5.) You can use technology for this problem, keep calculations accurate to at least 10 decimal…

A: Given differential equation is y' = x2y,   y0=1,  h=0.1 Take   fx, y= x2y  then y' =f x, y initial…

Q: 1. Find y' by implicit differėntiation. xy + 4x + 5x² = 3 %3D Select the correct answer: a. y':…

A: In implicit differentiation write y' interns of x & y.

Q: Differentiate. y = In (4x² - 7x+5) y' =0

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Q: Find the general equation for y if y': √8x +3

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Q: (a) y 10u² and u = 5 - ² (b) y = √u and u=1-1

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Q: Use implicit differentiation to find y' for 4x³y² + ln(xy³) Answer exactly. y' (1, 1) = 4 and then…

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Q: Differentiate cos cos" Vi-x? y = ecos

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Q: Find y' for (ry)”/” – 64 at the point (4,4). (wy)³/2 C At (4, 4), g' DE

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Q: Find y' if y = In(9x² + 5y²). y' = X

A: The given data is: y=ln(9x2+5y2)  Find y'

Q: Find yy as a function of x if y′′′−7y′′+12y′=6e^x y(0)=30,  y′(0)=19,  y′′(0)=12

A: y′′′−7y′′+12y′=6ex        y(0)=30,  y′(0)=19,  y′′(0)=12 given differential equations is linear…

Q: Find y' for y = 9x-6 + 7x¯1. y' =O

A: Given: y=9x-6+7x-1

Q: 2. Show that g(x)= *** has a unique fixed point in [0,1] and find an approximation to the point that…

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Q: 9. Find y' if y – x²y = x³

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Q: Sketch the graph of y'=ly with y(0) = 1 yo

A: Given :

Q: of y = 2 tan x 1-tan²x

A: Solution is done in step 2

Q: (4) Find y' if y = xcot-12x -V1– 4x².

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Q: Find y' for y=8x7 + 4x¯¹. 1 y'=0

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Q: Given that y= 6t^3 +1 and x = t^2-1. Find y’ when x=6

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Q: Runge-Kutta 4th

A: y' = y-x   , y(0) =2here h = 0.1f(x , y ) = y-xx0=0y0= 2y(0.1) = y(0) +16(k1+2k2+2k3+k4)k1 = (0.1)…

Q: Use Improved Euler's Method to approximate y(2.8) for y'-4x³=0; y(2)=6 Use h=0.2. . Calculate up to…

A: Introduction: 1 (Numerical differentiation). Let  be a given function that isknown at a number of…

Q: Suppose the slope of the tangent line at any point on a curve is x+4yz. If the curve passes thru…

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