Need help win a and c please Use dsolve to solve the following differential equa

Question

Need help win a and c please Use dsolve to solve the following differential equations or initial value problems from Boyce & DiPrima. In some cases, MATLAB will not be able to solve the equation. (Before moving on to the next equation, make sure you haven't mistyped something.) In other eases, MATLAB may give extraneous solutions. (Sometimes these correspond to non-real roots of the equation it solves to get y in terms of t.) If so, you should indicate which solution or solutions are valid. You also might try entering alternative forms of an equation, for example, M + Ny' = 0 instead of y' = -M/N, or vice versa. y' = ry - ky^2 y' = t(t^2 + 1)/(4y^3), y(0) = -1/square root 2 (e^t sin y + 3y) dt - (31 - e^t sin y) dy = 0

Explanation / Answer

a)
dsolve('Dr*y - k*y^2 == 0','s')

c)
y(t) = dsolve(diff(y,t) == (e^t*sin(y) + 3*y)dt - (3*t - e^t*sin(y))dy == 0)

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