MATH 240 Midterm: MATH 240 KSU Test 1s99

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Show all your work in the space provided under each question. Please write neatly and present your answers in an organized way: solve: dy dx x2. 1 y2: solve the initial value problem: (x2 cos y + 2y) dy dx. Page 2: solve: x dy dx 3y = x3. Use the euler method with stepsize . 5 to estimate y(1) for the initial value problem: dy dx. Page 4 (b) find the true solution and nd the actual value of y(1) : solve the initial value problem: dy dx xy = xy. = p (p 2)(p 10) . (b) without solving the equation, graph several solution curves. Write in the form a + bi : 1 i (b) write in the form a cos(wt ) : 2 sin 3t: find the general solution of the second order di erential equation y 5y 14y = 0 .