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In Problems 3–12 use the RK4 method with h = 0.1 to obtain a four-decimal approximation of the indicated value.
10.
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Chapter 9 Solutions
Bundle: A First Course in Differential Equations with Modeling Applications, Loose-leaf Version, 11th + WebAssign Printed Access Card for Zill's A ... Applications, 11th Edition, Single-Term
- 3. Solve the IVP y' = e¯¹ (2x − 4), y(5)=0. Then, compute y(5.25). Remark. In this problem, we can easily write y explicitly as a function of x, i.e., y = o(x).arrow_forwardProblem 1. Find y as a function of a if y(1) = 6, y'(1) = −2. y = x²y" - 6xy' - 8y = 0,arrow_forwardFind y subject to the given conditions. y"' = 30x, y"(0) = 6, y'(0) = 3, and y(0) = 4 y(x)%3D| | (Simplify your answer. Do not factor.)arrow_forward
- on y = 1=x+y=xy given that y(0) = -3arrow_forwardProblem. 9: Let z = x? 7 xy + 6 y? and suppose that (x, y) changes from (2, 1) to (1.95, 1.05 ). (Round your answers to four decimal places.) (a) Compute Az. (b) Compute dz. ?arrow_forward4. Show that 2 s w (b) L(t sinh (wt)) %3D (s² – w²)2 - ninearrow_forward
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