What is a solution to the differential equation dy/dx=3x^2e^-y? Calculus Applications of Definite Integrals Solving Separable Differential Equations 1 Answer Eddie Jul 14, 2016 y=ln (x^3 + C) Explanation: dy/dx=3x^2e^-y separate it e^y dy/dx=3x^2 int \ e^y dy/dx \ dx=int \ 3x^2 \ dx int \ e^y \ dy=int \ 3x^2 \ dx e^y=x^3 + C y=ln (x^3 + 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 13868 views around the world You can reuse this answer Creative Commons License