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Popular >

y^{''}+2x=0

Solution

y^{^{''}} + 2 x = 0

Solution

y = - \frac{x ^{3}}{3} + c_{1} x + c_{2}

Solution steps

y^{''} (x) + 2 x = 0

Isolate

y^{''} (x) : y^{''} (x) = - 2 x

Solve

y^{''} (x) = - 2 x : y^{'} (x) = - x^{2} + c_{1}

Solve

y^{'} (x) = - x^{2} + c_{1} : y = - \frac{x ^{3}}{3} + c_{1} x + c_{2}

y = - \frac{x ^{3}}{3} + c_{1} x + c_{2}

Graph

Popular Examples

(\partial)/(\partial x)(2x^2y-x+3y^3)

\frac{\partial}{\partial x} (2 x^{2} y - x + 3 y^{3})

derivative of (x-2(-x+2)(x^2+3x-3))

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

y^{''}-8y^'+15y=0

y^{^{''}} - 8 y^{^{'}} + 15 y = 0

limit as x approaches infinity of csc(9)

x \to \infty lim (csc (9))

derivative of y=(4x-1)^2(x^4+1)^2 derivative of

y = (4 x - 1)^{2} (x^{4} + 1)^{2}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+2x=0 ?
The solution for y^{''}+2x=0 is y=-(x^3)/3+c_{1}x+c_{2}