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Solve the following initial value problem over the interval from t = 0 to 1 where...

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Advance Math

Solve the following initial value problem over the interval fromt = 0 to 1 where y(0) = 1 using the followingmethods with a step size of 0.25.

dy/dt=(1+4t)*sqrt(y)

a) Analytical method

b) Euler's method

c) Heun's method without iteration

d) Ralston's method

e) Fourth-order Runge-Kutta method

f) Display all your results obtained above on the same graph

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