Consider the initial value problem 2ty' = 6y, y(1) =-2.
a. Find the value of the consta...
Mathematics, 11.02.2020 20:05 corcoranrobert1959
Consider the initial value problem 2ty' = 6y, y(1) =-2.
a. Find the value of the constant C and the exponent r so that y = Ctr is the solution of this initial value problem. y = help (formulas)
b. Determine the largest interval of the form a < t < b on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution. help (inequalities)
c. What is the actual interval of existence for the solution (from part a)? help (inequalities)
Answers: 1
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Quadrilateral abcd is translated up and to the right, and then rotated about point q. which congruency statement is correct?
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Evaluate 8x2 + 9x β 1 2x3 + 3x2 β 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 β 2x = x(2x2 + 3x β 2) = x(2x β 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the formβ 8x2 + 9x β 1 x(2x β 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x β 1)(x + 2), obtaining 8x2 + 9x β 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x β 1).
Answers: 3
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