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Popular >

xy^'=y+7x^2sin(x)

Solution

x y^{^{'}} = y + 7 x^{2} sin (x)

Solution

y = - 7 cos (x) x + c_{1} x

Solution steps

x y^{'} (x) = y + 7 x^{2} sin (x)

Solve linear ODE:

y = - 7 cos (x) x + c_{1} x

y = - 7 cos (x) x + c_{1} x

Graph

Popular Examples

(\partial)/(\partial x)(xy^{1/2})

\frac{\partial}{\partial x} (x y^{\frac{1}{2}})

derivative of R(t)=50t^2e^{-t}+8 derivative of

R (t) = 50 t^{2} e^{- t} + 8

derivative of 4x^3-2x^2

\frac{d}{d x} (4 x^{3} - 2 x^{2})

y^{''}-8y^'+16y=t^{-3}e^{4t}

y^{^{''}} - 8 y^{^{'}} + 16 y = t^{- 3} e^{4 t}

(16+x^2)((dy)/(dx))-2xy=0

(16 + x^{2}) (\frac{d y}{d x}) - 2 x y = 0

Frequently Asked Questions (FAQ)

What is the solution for xy^'=y+7x^2sin(x) ?
The solution for xy^'=y+7x^2sin(x) is y=-7cos(x)x+c_{1}x