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Consider the nonlinear time-dependent ordinary differential equation (ODE) y '(t) = y ^2 (t)+ cos(t)-sin^2 (t) with the true solution y(t) = sin(t) and initial condition y(0) = 0. Solves the ODE using the integral matrix constructed with the Newton's method. %3D

Consider the nonlinear time-dependent ordinary differential equation (ODE) y '(t) = y ^2 (t)+ cos(t)-sin^2 (t) with the true solution y(t) = sin(t) and initial condition y(0) = 0. Solves the ODE using the integral matrix constructed with the Newton's method. %3D

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 16E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Consider the nonlinear time-dependent ordinary differential equation (ODE) y '(t) = y ^2 (t)+ cos(t)-sin^2 (t) with the true solution y(t) = sin(t) and initial condition y(0) = 0. Solves the ODE using the integral matrix constructed with the Newton's method.
Transcribed Image Text:Consider the nonlinear time-dependent ordinary differential equation (ODE) y '(t) = y ^2 (t)+ cos(t)-sin^2 (t) with the true solution y(t) = sin(t) and initial condition y(0) = 0. Solves the ODE using the integral matrix constructed with the Newton's method.
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