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Chapter 16 F D IRST IFFERENTIAL -ORDER EQUATIONS
math.hawaii.eduOVERVIEW In Section 4.7 we introduced differential equations of the form , where is given and y is an unknown function of . When is continuous over some inter-val, we found the general solution by integration, . In Section 7.5 we solved separable differential equations.
Chapter 16 F D IRST IFFERENTIAL -ORDER EQUATIONS
math.hawaii.edution curves. Figure 16.2a shows a slope field, with a particular solution sketched into it in Figure 16.2b. We see how these line segments indicate the direction the solution curve takes at each point it passes through. sx 0, y 0d ƒsx 0, y 0d y¿=ƒsx, yd, ysx 0d = y 0 ys0d = csx + 1d - 1 3 e x d x=0 = 1 - 1 3 = 2 3. y-x = sx + 1d - 1 3 e x-x ...