How to you find the general solution of dy/dx=3x^3? Calculus Applications of Definite Integrals Solving Separable Differential Equations 1 Answer Noah G Nov 14, 2016 y = 3/4x^4+ C Explanation: dy = 3x^3dx int(dy) = int(3x^3dx) By the power rule, int(x^n)dx = x^(n + 1)/(n + 1) y = 3/4x^4 + C Hopefully this helps! 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 3998 views around the world You can reuse this answer Creative Commons License