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Popular >

xy^'=y+5x^2sin(x)

Solution

x y^{^{'}} = y + 5 x^{2} sin (x)

Solution

y = - 5 cos (x) x + c_{1} x

Solution steps

x y^{'} (x) = y + 5 x^{2} sin (x)

Solve linear ODE:

y = - 5 cos (x) x + c_{1} x

y = - 5 cos (x) x + c_{1} x

Popular Examples

derivative of f(x)=(2x^3+6x)(4x^2-7x+11)derivative of

f (x) = (2 x^{3} + 6 x) (4 x^{2} - 7 x + 11)

derivative of (x^2/(sqrt(x^2-4)))

\frac{d}{d x} (\frac{x ^{2}}{x ^{2} - 4})

(\partial)/(\partial y)((x+y)/(xy-1))

\frac{\partial}{\partial y} (\frac{x + y}{x y - 1})

integral of (x^2+3)/(sqrt(x))

\int \frac{x ^{2} + 3}{x} d x

tangent of 2x(5-4x)^4,\at x=1 tangent of

2 x (5 - 4 x)^{4}, at x = 1

Frequently Asked Questions (FAQ)

What is the solution for xy^'=y+5x^2sin(x) ?
The solution for xy^'=y+5x^2sin(x) is y=-5cos(x)x+c_{1}x