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Popular >

x^2(d^2y)/(dx^2)=0

Solution

x^{2} \frac{d ^{2} y}{d x ^{2}} = 0

Solution

y = c_{1} x + c_{2}

Solution steps

x^{2} \frac{d ^{2} y}{d x ^{2}} = 0

Substitute

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

with

y^{''} (x)

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

Isolate

y^{''} (x) : y^{''} (x) = 0

Solve

y^{''} (x) = 0 : y^{'} (x) = c_{1}

Solve

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

y = c_{1} x + c_{2}

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Frequently Asked Questions (FAQ)

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