y = C₁ cos(3x) + C₂ sin(3x) is a two-parameter family of solutions of the second-order DE y" + 9y = 0. If possible, find a solution of the differential equation that satisfies the given side conditions. The conditions specified at two different points are called boundary conditions. (If not possible, enter IMPOSSIBLE.) y(0) = 1, y'(π) = 7 y =

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 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
icon
Related questions
Question

Please help me do both thank you

y = C₁ cos(3x) + C₂ sin(3x) is a two-parameter family of solutions of the second-order DE y" + 9y = 0. If possible, find a solution of the differential equation that satisfies the given side conditions. The
conditions specified at two different points are called boundary conditions. (If not possible, enter IMPOSSIBLE.)
y(0) = 1, y'(π) = 7
y =
Transcribed Image Text:y = C₁ cos(3x) + C₂ sin(3x) is a two-parameter family of solutions of the second-order DE y" + 9y = 0. If possible, find a solution of the differential equation that satisfies the given side conditions. The conditions specified at two different points are called boundary conditions. (If not possible, enter IMPOSSIBLE.) y(0) = 1, y'(π) = 7 y =
Solve equation (10) from Section 7.4
1
-= /[^/(2T) (
i(t) dt = E(t) (10)
с
subject to i(0) = 0 with L, R, C, and E(t) as given.
L = 0.1 h, R = 3 , C = 0.05 f,
E(t) = 100 [U(t − 1) – U(t − 2)]
Ju(t-1) + (
i(t)
L. + Ri(t) +
dt
=
Jau (+-
Transcribed Image Text:Solve equation (10) from Section 7.4 1 -= /[^/(2T) ( i(t) dt = E(t) (10) с subject to i(0) = 0 with L, R, C, and E(t) as given. L = 0.1 h, R = 3 , C = 0.05 f, E(t) = 100 [U(t − 1) – U(t − 2)] Ju(t-1) + ( i(t) L. + Ri(t) + dt = Jau (+-
Expert Solution
steps

Step by step

Solved in 3 steps with 9 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,