Consider the differential equation (10x*y4 +e-y + 3 sin(4x + 3y))y' + (6x²y³ + 4sin(4x + 3y) + 2) = 0 (a). Is the differential equation exact? Verify. Since the • of the O.D.E M, cos( and N. cos( ). The differential equation is (b). This equation is also separable? (C). Find the solution of the equation satisfying y() = 0. You may leave your answer in implicit form. r'ys – cos( exp( ||

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the differential equation
(10x*y4 +e-y + 3 sin(4x + 3y))y' + (6x²y³ + 4sin(4x + 3y) + 2) = 0
(a). Is the differential equation exact? Verify.
Since the
• of the O.D.E M,
cos(
and N.
cos(
). The differential equation is
(b). This equation is also separable?
(C). Find the solution of the equation satisfying y() = 0. You may leave your answer in implicit
form.
r'ys – cos(
exp(
||
Transcribed Image Text:Consider the differential equation (10x*y4 +e-y + 3 sin(4x + 3y))y' + (6x²y³ + 4sin(4x + 3y) + 2) = 0 (a). Is the differential equation exact? Verify. Since the • of the O.D.E M, cos( and N. cos( ). The differential equation is (b). This equation is also separable? (C). Find the solution of the equation satisfying y() = 0. You may leave your answer in implicit form. r'ys – cos( exp( ||
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