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Popular >

(dy)/(dx)=y+e^x

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

integral of sqrt((4-x^2)/(x^2))

\int \frac{4 - x ^{2}}{x ^{2}} d x

integral from 0 to 11 of xsqrt(11-x)

\int_{0}^{11} x 11 - x d x

limit as x approaches 3 of 5x^3

x \to 3 lim (5 x^{3})

limit as x approaches-1 of e^{x+1}

x \to - 1 lim (e^{x + 1})

derivative of 10x(x^2+6)^4 derivative of

10 x (x^{2} + 6)^{4}

Frequently Asked Questions (FAQ)

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