How do you find the general solution to dy/dx=1/sec^2y? Calculus Applications of Definite Integrals Solving Separable Differential Equations 1 Answer Eddie Jul 24, 2016 y = tan^(-1) (x + C) Explanation: we can separate it dy/dx=1/sec^2y sec^2y dy/dx=1 int \ sec^2y dy/dx \ dx =int \ dx int \d/dx( tan y) \ dx =int \ dx tan y =x + C y = tan^(-1) (x + C) Answer link Related questions How do you solve separable differential equations? How do you solve separable first-order differential equations? How do you solve separable differential equations with initial conditions? What are separable differential equations? How do you solve the differential equation dy/dx=6y^2x, where y(1)=1/25 ? How do you solve the differential equation y'=e^(-y)(2x-4), where y5)=0 ? How do you solve the differential equation (dy)/dx=e^(y-x)sec(y)(1+x^2), where y(0)=0 ? How do I solve the equation dy/dt = 2y - 10? Given the general solution to t^2y'' - 4ty' + 4y = 0 is y= c_1t + c_2t^4, how do I solve the... How do I solve the differential equation xy'-y=3xy, y_1=0? See all questions in Solving Separable Differential Equations Impact of this question 9345 views around the world You can reuse this answer Creative Commons License