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Popular Calculus >

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}

Graph

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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