Ask a New Question

If y′= x(1+ y) and y > -1 , then y =

The differential equation dy/dx=y/x^2 has a solution given by:

3 answers

http://www.wolframalpha.com/input/?i=Solve++y%27(x)+%3D+x%2Bxy

dy/y = dx/x^2
ln y = -1/x + c
y = C e^-1/x

http://www.wolframalpha.com/input/?i=Solve++y%27(x)+%3Dy%2Fx%5E2

more like

dy/(1+y) = x dx
ln(1+y) = x^2/2
1+y = c e^(x^2/2)
y = c e^(x^2/2) - 1

Ask a New Question or answer this question.

Similar Questions

The maximum number of arbitrary constants is equal toa. Number of derivatives in the differential equation b. Degree of
1. 1 answer
Solve the differential equation dy/dx = -xe^y and determine the equation of the curve through P(1,2)I tried solving the
1. 4 answers
consider the differential equationd^3x/dt^3 - 9(d^2x/dt^2)+ 27(dx/dt) -27x = c0s t +sin t + te^(3t) a) show that characteristic
1. 1 answer
Verify that the formula u(t)=Acos(ωo*t+Φ) is a solution to the differential equation for the mass on a spring, by plugging
1. 1 answer

more similar questions