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Popular >

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

Solution

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

Solution

y = - \frac{5 x + 1}{25} + c_{1} e^{5 x}

Solution steps

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

Solve linear ODE:

y = - \frac{5 x + 1}{25} + c_{1} e^{5 x}

y = - \frac{5 x + 1}{25} + c_{1} e^{5 x}

Popular Examples

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

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x \to + 4 lim (3 e^{1.7 x} + 1)

slope of x^3+y^3=12xy-8,(6,4)slope

x^{3} + y^{3} = 12 x y - 8, (6, 4)

inverse oflaplace ((s+2))/((s^2+2s+2))inverse laplace

\frac{( s + 2 )}{( s ^{2} + 2 s + 2 )}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=x+5y ?
The solution for (dy)/(dx)=x+5y is y=-(5x+1)/(25)+c_{1}e^{5x}