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Popular >

(d^2y)/(dx^2)=k

Solution

\frac{d ^{2} y}{d x ^{2}} = k

Solution

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} = k

Substitute

\frac{d ^{2} y}{d x ^{2}}

with

y^{''} (x)

y^{^{''}} (x) = k

Solve

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

Solve

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

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

Popular Examples

derivative of (5x^2/(x+47))

\frac{d}{d x} (\frac{5 x ^{2}}{x + 47})

y^'=x^2-y-2,y(0)=-1

y^{^{'}} = x^{2} - y - 2, y (0) = - 1

(\partial)/(\partial y)(2xy+y)

\frac{\partial}{\partial y} (2 x y + y)

laplacetransform e^2 laplace transform

e^{2}

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

f (x) = - x^{2} + 3 x

Frequently Asked Questions (FAQ)

What is the solution for (d^2y)/(dx^2)=k ?
The solution for (d^2y)/(dx^2)=k is y=(kx^2)/2+c_{1}x+c_{2}