Datrys 2*xdx=-d(1-x^2)

$$2 \cdot x d x = - d ( 1 - x ^ { 2 } )$$

Datrys ar gyfer d (complex solution)

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{C}\text{, }&x=i\text{ or }x=-i\end{matrix}\right.$$

Camau ar gyfer Datrys Hafaliad Llinol

Lluosi x a x i gael x^{2}.

$$2x^{2}d=\left(-d\right)\left(1-x^{2}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi -d â 1-x^{2}.

$$2x^{2}d=-d-\left(-d\right)x^{2}$$

Lluosi -1 a -1 i gael 1.

$$2x^{2}d=-d+dx^{2}$$

Ychwanegu d at y ddwy ochr.

$$2x^{2}d+d=dx^{2}$$

Tynnu dx^{2} o'r ddwy ochr.

$$2x^{2}d+d-dx^{2}=0$$

Cyfuno 2x^{2}d a -dx^{2} i gael x^{2}d.

$$x^{2}d+d=0$$

Cyfuno pob term sy'n cynnwys d.

$$\left(x^{2}+1\right)d=0$$

Rhannwch 0 â x^{2}+1.

$$d=0$$

Datrys ar gyfer d

$$d=0$$

Camau ar gyfer Datrys Hafaliad Llinol

Lluosi x a x i gael x^{2}.

$$2x^{2}d=\left(-d\right)\left(1-x^{2}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi -d â 1-x^{2}.

$$2x^{2}d=-d-\left(-d\right)x^{2}$$

Lluosi -1 a -1 i gael 1.

$$2x^{2}d=-d+dx^{2}$$

Ychwanegu d at y ddwy ochr.

$$2x^{2}d+d=dx^{2}$$

Tynnu dx^{2} o'r ddwy ochr.

$$2x^{2}d+d-dx^{2}=0$$

Cyfuno 2x^{2}d a -dx^{2} i gael x^{2}d.

$$x^{2}d+d=0$$

Cyfuno pob term sy'n cynnwys d.

$$\left(x^{2}+1\right)d=0$$

Rhannwch 0 â x^{2}+1.

$$d=0$$

Datrys ar gyfer x (complex solution)

$$\left\{\begin{matrix}\\x=i\text{; }x=-i\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&d=0\end{matrix}\right.$$

Datrys ar gyfer x

$$x\in \mathrm{R}$$

$$d=0$$