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Consider the initial value problem for the function y. cos(t) y² (a) Find an implicit expression of all solutions y of the differential equation above, in the form (t, y) = c, where c collects all constant terms. (So, do not include any c in your answe (t, y) = ((y^5)/5)+cos(31)-(3t^4)/4 Σ y' 3 (b) Find the explicit expression of the solution y of the initial value problem above. y(t) = Σ t² 3 = 0, y² y(0) = 1.

Consider the initial value problem for the function y. cos(t) y² (a) Find an implicit expression of all solutions y of the differential equation above, in the form (t, y) = c, where c collects all constant terms. (So, do not include any c in your answe (t, y) = ((y^5)/5)+cos(31)-(3t^4)/4 Σ y' 3 (b) Find the explicit expression of the solution y of the initial value problem above. y(t) = Σ t² 3 = 0, y² y(0) = 1.

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.CR: Chapter 11 Review
Problem 33CR
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Consider the initial value problem for the function y, cos(t) y(0) = 1. y² (a) Find an implicit expression of all solutions y of the differential equation above, in the form (t, y) = c, where c collects all constant terms. (So, do not include any c in your answer.) (t, y) = ((y^5)/5)+cos(3t)-(3t^4)/4 Σ (b) Find the explicit expression of the solution y of the initial value problem above. y(t) = y' - 3 t² 3 = 0, y² Σ
Transcribed Image Text:Consider the initial value problem for the function y, cos(t) y(0) = 1. y² (a) Find an implicit expression of all solutions y of the differential equation above, in the form (t, y) = c, where c collects all constant terms. (So, do not include any c in your answer.) (t, y) = ((y^5)/5)+cos(3t)-(3t^4)/4 Σ (b) Find the explicit expression of the solution y of the initial value problem above. y(t) = y' - 3 t² 3 = 0, y² Σ
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