Question: Find y (1) by (a) Euler's method and (b) Heun's method for the following equations: (i) dy/dx = x 2 + y 2 . Find

Find y (1) by (a) Euler's method and (b) Heun's method for the following equations:

(i) dy/dx = x2+ y2. Find y(1). Given : y(0) = 1, h = 0.2

(ii) y' = 3x + y.Find y(1). Given : y(0) = 1, h = 0.25

Note : Solve a) and b) for EACH equation. Plz show steps as these sums are for 5-10 marks EACH. Thanks!

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