CalculusChallengeDifferential Equations ShareDifferential Equations · Challenge problemSolve dydx=e x−y\dfrac{dy}{dx}=e^{\,x-y}dxdy=ex−y with y(0)=1y(0)=1y(0)=1, giving yyy explicitly.Ay=ln (ex+e−0)y=\ln\!\left(e^{x}+e-0\right)y=ln(ex+e−0)By=ln (ex−e+1)y=\ln\!\left(e^{x}-e+1\right)y=ln(ex−e+1)Cy=ln (ex+e−1)y=\ln\!\left(e^{x}+e-1\right)y=ln(ex+e−1)Dy=ln (ex+e−2)y=\ln\!\left(e^{x}+e-2\right)y=ln(ex+e−2)Check Show answer Walk through it step by step Practice more like this Review this concept