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17 Nov 2019
Why is the B part not correct ?
Consider the differential equation for the function y given by y' + y^3 cos (4t) + 7y^3 sin (3t) = 0. a. Find an implicit expression of all solutions y of the differential equation above in the form psi(t, y) = c. where c collects all constant terms, and psi satisfies the normalization condition psi(0, 1) = -1/2 - 7/3. psi(t, y) = -[1/(2y^2) -1/4* sin (4t) + 7/3*cos(3t)] b. From the equation psi(t, y) find the explicit expression of all positive solutions y to the differential equation. y(t) = [1/[2[17/6 + [1/4^sin(4t) - 7/3*cos(3t)]]]]^1/2)
Why is the B part not correct ?
Consider the differential equation for the function y given by y' + y^3 cos (4t) + 7y^3 sin (3t) = 0. a. Find an implicit expression of all solutions y of the differential equation above in the form psi(t, y) = c. where c collects all constant terms, and psi satisfies the normalization condition psi(0, 1) = -1/2 - 7/3. psi(t, y) = -[1/(2y^2) -1/4* sin (4t) + 7/3*cos(3t)] b. From the equation psi(t, y) find the explicit expression of all positive solutions y to the differential equation. y(t) = [1/[2[17/6 + [1/4^sin(4t) - 7/3*cos(3t)]]]]^1/2)
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Casey DurganLv2
16 Oct 2019
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