# Solving Separable Differential Equations - Page 3

Questions

- How do you use differentials to estimate the maximum error in calculating the surface area of the box if the dimensions of a closed rectangular box are measured as 60 centimeters, 80 centimeters, and 90 centimeters, respectively, with the error in each measurement at most .2 centimeters?
- What is a solution to the differential equation #(dy/dx) - y - e^(3x) = 0#?
- What is a solution to the differential equation #dy/dx=x/(x+y)#?
- What is a solution to the differential equation #dy/dy=sqrt(x/y)#?
- How do you determine if #f(x,y)=-x^3+3x^2y^2-2y^2# is homogeneous and what would it's degree be?
- How do you solve #x''(t)+x3=0#?
- How do you find the general solution to #dy/dx=2yx+yx^2#?
- What is a solution to the differential equation #y'=-e^(3x)#?
- What is the general solution of the differential equation? : # 2y'' + 3y' -y =0#
- What is the general solution of the differential equation #(1+x^2)dy/dx + xy = x #?
- If #x^2 y=a cos#x, where #a# is a constant, show that #x^2 (d^2 y)/(dx^2 )+4x dy/d +(x^2+2)y=0 #?
- Given #x^t * y^m - (x+y)^(m+t)=0# determine #dy/dx# ?
- What is a solution to the differential equation #x(y+4)+y'=0# with y=-5 when x=0?
- How do you solve the differential equation given #f'(x)=4x#, f(0)=6?
- What is a solution to the differential equation #(1+y)dy/dx-4x=0#?
- How to you find the general solution of #(2+x)y'=3y#?
- How do you find the general solution to #dy/dx=xe^y#?
- How do you find the particular solution to #(du)/(dv)=uvsinv^2# that satisfies u(0)=1?
- What is the general solution of the differential equation # y''' - 3y'-2y =0 #?
- Solve #dy/dx = 1+ 1/y^2# ?