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Popular >

(dx)/(dt)=x+e^t

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

derivative of 3sqrt(x)+2/(5x^3-sqrt(2))

\frac{d}{d x} (3 x + \frac{2}{5 x ^{3}} - 2)

integral of sin^4(t)

\int sin^{4} (t) d t

x((dy)/(dx))-3y=x^3,y(1)=1

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

(dy)/(dx)= y/x-(x^2)/(y^2)

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

limit as x approaches 0+of (ln(x))/(x^2)

x \to 0 + lim (\frac{ln ( x )}{x ^{2}})

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=x+e^t ?
The solution for (dx)/(dt)=x+e^t is x=e^tt+c_{1}e^t