4. Solve the following systems of differential equations using Euler's method with h = 0.1 for n = ( = 0.1 (i) y = Y1 + Y2 +t; y1(1) = 1 Y2 = 2y1 + y3; y2(1) = 2 (ii) æ' = -2tx + 3y²; x(0) = –1 y = -3x2 (1 – y); y(0) = 2 In each case, identify at which t value you find the solution for y.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.