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Popular >

xy^'=5y-x,y(1)=1

Solution

x y^{^{'}} = 5 y - x, y (1) = 1

Solution

y = \frac{x}{4} + \frac{3 x ^{5}}{4}

Solution steps

x y^{'} (x) = 5 y - x

Solve linear ODE:

y = \frac{x}{4} + \frac{3 x ^{5}}{4}

y = \frac{x}{4} + \frac{3 x ^{5}}{4}

Popular Examples

integral of (arccos(sqrt(x)))/(sqrt(x))

\int \frac{arccos ( x )}{x} d x

derivative of 2sin(x+sin^2(x))

\frac{d}{d x} (2 sin (x) + sin^{2} (x))

d/(dX)((X-3)^2+2)

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

f(x)=(3x)/(x^2+1)

f (x) = \frac{3 x}{x ^{2} + 1}

integral of (x-1/x)

\int (x - \frac{1}{x}) d x

Frequently Asked Questions (FAQ)

What is the solution for xy^'=5y-x,y(1)=1 ?
The solution for xy^'=5y-x,y(1)=1 is y= x/4+(3x^5)/4