Consider the following differential equation dy/dx + y = f(x), y(0) = 1 , where f(x) = {( 1 0 < x < 1 -1 x > 1 ) Find the coefficient function P(y) when the given differential equation is written in the standard form dx/dy + P(y)x = f(y) Find the integrating factor for the differential equation. Find the general solution of the given differential equation. Proceed as in example 6 in section 2.3 to solve the given initial value problem. Use a graphing utility to graph the continuous function y(x)
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Consider the following differential equation dy/dx + y = f(x), y(0) = 1 , where f(x) = {( 1 0 < x < 1 -1 x > 1 ) Find the coefficient function P(y) when the given differential equation is written in the standard form dx/dy + P(y)x = f(y) Find the integrating factor for the differential equation. Find the general solution of the given differential equation. Proceed as in example 6 in section 2.3 to solve the given initial value problem. Use a graphing utility to graph the continuous function y(x)
