(1) Let C1 and C, be arbitrary constants. The general solution to the homogeneous differential equation 169x?y" + 117xy' + 104y = 0 is the function y(x) = C1 Y1(x) + C2 Y2(x) = C1 +C2 (2) The unique solution to the initial value problem 169x?y" + 117xy' + 104y = 0, y(1) = -6, y'(1) = 6. %3D is the function y(x) = for x € For -0o type -inf and for oo type inf.

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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.