Solve any maths problem

Equations, derivatives, integrals, matrices, triangles, primes, statistics, or a word problem the tutor breaks into parts.

Differential-Equations · Differential-Equations

Y' = y/x

\frac{d}{d x} y{\left(x \right)} = \frac{y{\left(x \right)}}{x}

Step by step

  1. \frac{d}{d x} y{\left(x \right)} = \frac{y{\left(x \right)}}{x}

    The differential equation.

  2. \text{order } 1

    Order 1: the highest derivative present.

  3. \text{Separable}

    Move everything in y to one side with dy and everything in x to the other, then integrate both sides.

  4. y{\left(x \right)} = C_{1} x

    General solution (C₁, C₂ … are arbitrary constants).

  5. \checkmark

    Verified: substituting the solution back into the equation gives 0.

Reveal the answer
y{\left(x \right)} = C_{1} x