differential equations
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Solve the following differential equations.
1a. 11x - 6y sqrt(x^(2)+1)*(dy/dx) = 0 w/ y(0) = 2
1b. Find f(x) if y = f(x) satisfies (dy/dx) = 160x^15 and the y-intercept if the curve y = f(x) is 5.
1c. ((x^2)-(y^(2)-8))*(dy/dx) = (1/2y) w/ y(1) = sqrt(9)
1d. 3e^(7x) * (dy/dx) = -49(x/y^(2)) w/ y(0) = 1
1e. cos(t)^2 * (dy/dt) = 1 w/ y(6) = tan(6)
1f. (dy/dx) = -0.3y w/ y(0) = 3
1g. (dy/dx) = -8y^5 w/ y(0) = 6
1h. (dy/dx) = ((-0.4)/(cos(y)) w/ y(0) = pi/2
1i. (dx/dt) = x^(2) + 1/4 w/ x(0) = -2
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