Question #ca0cb Calculus Applications of Definite Integrals Solving Separable Differential Equations 1 Answer Roy E. Dec 4, 2016 If f(x,y,z) = x sin(y+2z) + xy^2f(x,y,z)=xsin(y+2z)+xy2, (delf)/(delx)|_{y,z}=sin(y+2z)+y^2∂f∂x∣y,z=sin(y+2z)+y2 Explanation: Assuming that the function is of three variable x,y,zx,y,z then to partially differentiate wrt one of the three just treat the other two as constants. 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^2xdydx=6y2x, where y(1)=1/25y(1)=125 ? 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 1313 views around the world You can reuse this answer Creative Commons License