What is expand (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx) ?

The solution to expand (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx) is (d^2y)/(dx^2)-x^2(d^2y)/(dx^2)-x(dy)/(dx)

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expand (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)

expand

(1 - x^{2}) \frac{d ^{2} y}{d x ^{2}} - x \frac{d y}{d x}

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

Solution steps

(1 - x^{2}) \frac{d ^{2} y}{d x ^{2}} - x \frac{d y}{d x}

Expand

\frac{d ^{2} y}{d x ^{2}} (1 - x^{2}) : \frac{d ^{2} y}{d x ^{2}} - x^{2} \frac{d ^{2} y}{d x ^{2}}

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

(4 sin (x) - 4 cos (x))^{2}

(e^{y} + 1)^{2}

\frac{6 ( x + y ) + 5 - 6 x + 5}{y}

3 (x + 1) (x - \frac{1}{2}) (x - 1)

(32 + 1) (2 - 3)

What is expand (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx) ?
The solution to expand (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx) is (d^2y)/(dx^2)-x^2(d^2y)/(dx^2)-x(dy)/(dx)