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Popular >

y^'=xy-x-y+1

Solution

y^{^{'}} = x y - x - y + 1

Solution

y = e^{\frac{x ^{2}}{2} - x + c_{1}} + 1

Solution steps

y^{'} (x) = x y - x - y + 1

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} - x + c_{1}} + 1

y = e^{\frac{x ^{2}}{2} - x + c_{1}} + 1

Popular Examples

y^{^{'}} + \frac{1}{2} y = \frac{5}{2}

f(x)(g(x))f^'(x)=1+(f(x))^2

f (x) (g (x)) f^{^{'}} (x) = 1 + (f (x))^{2}

y^{-1}dy-ye^{cos(x)}sin(x)dx=0

y^{- 1} d y - y e^{c o s (x)} sin (x) d x = 0

d y - d x (y - 1)^{2} = 0

(sqrt(x)+x)(dy)/(dx)=(sqrt(y)+y)

(x + x) \frac{d y}{d x} = (y + y)

Frequently Asked Questions (FAQ)

What is the solution for y^'=xy-x-y+1 ?
The solution for y^'=xy-x-y+1 is y=e^{(x^2)/2-x+c_{1}}+1