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Popular >

(dy)/(dx)=-y+1

Solution

\frac{d y}{d x} = - y + 1

Solution

y = e^{- x - c_{1}} + 1

Solution steps

\frac{d y}{d x} = - y + 1

Solve separable ODE:

y = e^{- x - c_{1}} + 1

y = e^{- x - c_{1}} + 1

Graph

Popular Examples

(dy)/(dx)+y=y^{-1/2}

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

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

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

(dy)/(dx)=((xy+5x-y-5))/(xy-2x+6y-12)

\frac{d y}{d x} = \frac{( x y + 5 x - y - 5 )}{x y - 2 x + 6 y - 12}

(2 + x) y^{^{'}} = y

(dy)/(dx)=(7xy)/((ln(y))^{10)}

\frac{d y}{d x} = \frac{7 x y}{( ln ( y ) ) ^{10}}

Frequently Asked Questions (FAQ)

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