Final answer to the problem
$y=\sqrt{2\left(x+C_0\right)},\:y=-\sqrt{2\left(x+C_0\right)}$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Load more...
Can't find a method? Tell us so we can add it.
1
Rewrite the differential equation using Leibniz notation
Learn how to solve problems step by step online.
$\frac{dy}{dx}=y^{-1}$
Learn how to solve problems step by step online. Solve the differential equation y^'=y^(-1). Rewrite the differential equation using Leibniz notation. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Any expression to the power of 1 is equal to that same expression. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality.
Final answer to the problem
$y=\sqrt{2\left(x+C_0\right)},\:y=-\sqrt{2\left(x+C_0\right)}$
