What is the solution for (dy)/(dx)=e^{x-y},y(0)=0 ?

The solution for (dy)/(dx)=e^{x-y},y(0)=0 is y=x

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(dy)/(dx)=e^{x-y},y(0)=0

\frac{d y}{d x} = e^{x - y}, y (0) = 0

y = x

Solution steps

\frac{d y}{d x} = e^{x - y}

Solve separable ODE:

y = x

y = x

\frac{d y}{d x} = 5 x y^{2}

\frac{d y}{d x} = y^{\frac{1}{3}}, y (0) = 0

\frac{d P}{d t} = Pt, P (1) = 7

x^{2} y^{^{'}} - y = 0

\frac{d y}{d x} + \frac{( 1 + y ^{3} ) x}{y ^{2} ( 1 + x ^{2} )} = 0

What is the solution for (dy)/(dx)=e^{x-y},y(0)=0 ?
The solution for (dy)/(dx)=e^{x-y},y(0)=0 is y=x