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Popular >

(dy)/(dx)=5y+3

Solution

\frac{d y}{d x} = 5 y + 3

Solution

y = \frac{e ^{5 x + c_{1}}}{5} - \frac{3}{5}

Solution steps

\frac{d y}{d x} = 5 y + 3

Solve separable ODE:

y = \frac{e ^{5 x + c_{1}}}{5} - \frac{3}{5}

y = \frac{e ^{5 x + c_{1}}}{5} - \frac{3}{5}

Popular Examples

derivative of f(x)=(4x^5-5x^4)derivative of

f (x) = (4 x^{5} - 5 x^{4})

integral of-1/(sqrt(1-x^2))

\int - \frac{1}{1 - x ^{2}} d x

limit as x approaches 0-of (sqrt(x^2))/x

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

integral of e^{sqrt(5x)}

\int e^{5 x} d x

integral of (x^2)/(sqrt(x)+1)

\int \frac{x ^{2}}{x + 1} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=5y+3 ?
The solution for (dy)/(dx)=5y+3 is y=(e^{5x+c_{1}})/5-3/5