Solve xsinx^2/2x^2=y

$$x \frac { \sin x ^ { 2 } } { 2 x ^ { 2 } } = y$$

Solve for y

$$y=\frac{\sin(x^{2})}{2x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2x^{2}.

$$x\sin(x^{2})=y\times 2x^{2}$$

Swap sides so that all variable terms are on the left hand side.

$$y\times 2x^{2}=x\sin(x^{2})$$

The equation is in standard form.

$$2x^{2}y=x\sin(x^{2})$$

Divide both sides by 2x^{2}.

$$\frac{2x^{2}y}{2x^{2}}=\frac{x\sin(x^{2})}{2x^{2}}$$

Dividing by 2x^{2} undoes the multiplication by 2x^{2}.

$$y=\frac{x\sin(x^{2})}{2x^{2}}$$

Divide x\sin(x^{2}) by 2x^{2}.

$$y=\frac{\sin(x^{2})}{2x}$$