Consider the initial value problem: y' (t) = t - y², y(3) = 1. stimate y(5) using Euler's method with a step size h = 0.5. ti to: = Yi Yo = y₁ = t₁ = y² % = Yi+1 = Yi Y₁ =

Q: Let y = Arcsec (cos² 3x). If y '= == A (B C) D) - 6 tan3x - 3 sin3x - 6 sin3x cos3x N 2 cos3x D and…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: y' = et ; y(0) = 2 find the general solution

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Q: First, solve the following IVP, y' = (15x + yr1 . 15 , y(0)=1. Then calculate y(12).

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Q: Let y'=3t and y(0)=0 Approximate y(4) using Euler's method with a step size of 2. Solve exactly…

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Q: y' = 3x²+y² xy ; given that y(1) = 1 ; solve for y when x = 2

A: The given equation is; y'=(3x2+y2)/xy, y(1)=1.

Q: Solve for y(x):  y’’ – 5y’ + 12y = 0; y(2) = 0; y’(2) = -4

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Q: Use the explicit Euler method to plot the  estimate y(2) if y(t) is the solution to y' = t - y3 with…

A: Given IVP is y'=t-y3, y(0)=1 we have  f(t,y)=t-y3 Here using n=10 steps, Then step size h=upper…

Q: Find the solution to y' = x?(y + 1) given y(0) = 3. Show all work and put your final answer in f(x)…

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Q: Solve for Y(s) and Y(t)

A: Y(s)=s4−10s3+61s2−360s+9006s3−55s2+217s−1986​ (PLEASE SEE DETAILED INFORMATION ON THE EXPLANATION…

Q: 1. Find a general solution of the first order equation: y'= 3x²y².

A: The given first order differential equation is solved by method of separation of variable.

Q: Calculate the first, second, and third derivatives of y(t) = 2016/5 – 6127. (Use symbolic notation…

A: We will use simple differentiation rules to solve this question.

Q: [  y'''- y' = ex - 2x  ] Please find a particular solution yp for the above.

A: Particular Solution: Consider the equation Let be the differential operator Then equation (1) can…

Q: Find the value of y (0.4) if y' + 0.2y = 0, y(0) = 5. Solve analytically.

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Q: Let y'=3t and y(0)=0 Approximate y(4) using Euler's method with step sizes of 1. Solve exactly and…

A: Given that, h=1t0=0y0=0ft,y=3t

Q: y" (f) + (1 – t) y' (4) + e'y (t) = – 5t; y (0) = - 3; y' (0) = 4 into an in- tegral equation.…

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Q: Solve []-[*一- -15 a'(t) y'(t) z'(t) 1009 1000 x(t) y(t) z(t) 500 2 500 400 12 1000 400 with…

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Q: Find y'. 9) y = (5x-2)(3x + 1)

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Q: Find y' implicitly. 1. (x + y)² = 4y 2. (x + 2y)² = x + 10 of 1

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Q: dy dt 13.1 y – 13.94 y²; y(0) = 0.03

A: Given,dydt=13.1y-13.94y2113.1y-13.94y2dy=dt1y13.1-13.94ydy=dtintegrating both the…

Q: Use Euler method to solve ODE; y' = 1 + x2 ; y(1)=-2 ; h=0.10 ; x(0)=2 to determine y (2.10),…

A: solution:           given that y1 = 1+n2 with y(1) = -2 and h = 0.10 , we haveto determine…

Q: If y" = 6x + 2 and y'(1) = 2 and y(1) = 2, find y.

A: If y" = 6x + 2 and y'(1) = 2 and y(1) = 2, find y.