# Solving Separable Differential Equations - Page 5

Questions

- What is a solution to the differential equation #dx/dt=t(x-2)#?
- Solve the differential equation: #(d^2y)/ (dx^2) −8 (dy)/(dx) =−16y#? Discuss what kind of differential equation is this, and when it may arise?
- What is a solution to the differential equation #e^xdy/dx+2e^xy=1#?
- What is the general solution of the differential equation # y''''-3y'''+3y''-y' = 0 #?
- What is the general solution of the differential equation? : # (d^2y)/(dx^2) + dy/dx - 2y = -6sin2x-18cos2x#
- How can I solve this differential equation? : #xy^2dy/dx=y^3-x^3#
- Use the method of "undetermined coefficients" to solve the 2nd ODE #y''-2y'=12e^(2x)-8e^(-2x)#?
- What is the general solution of the differential equation? # (3x^2+2y)dx+2xdy=0 #
- How do you solve the differential #dy/dx=(x+1)/(x^2+2x-3)^2#?
- Show that # xsin2x # is a solution to the DE # y'' + 4y = 4cos2x #?
- What is a general solution to the differential equation #y'=y/(x^2-1)#?
- Yy'-2xe^x =0 using Separation of Variables?
- What is the general solution of the differential equation ? #xdy/dx=2/x+2-y# given that #x=-1,y=0#
- What is the general solution of the differential equation? # dy/dx=y(1+e^x) #
- How to solve the separable differential equation and to the initial condition: y(0)=1 ?
- What is a solution to the differential equation #dy/dx=xe^y#?
- What is the first derivative of the curve described by #y = 1/2root(3)(x) + 8/x + 1#?
- How do you determine if #f(x,y)=-x^3-4xy^2+y^3# is homogeneous and what would it's degree be?
- What are separable differential equations?
- What is the general solution of the differential equation? : # dy/dx = x+2y #