Final answer to the problem
$y=\left(C_1x+1\right)x$
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 integration by substitution problems step by step online.
$\frac{dy}{dx}=\frac{2y-x}{x}$
Learn how to solve integration by substitution problems step by step online. Solve the differential equation y^'=(2y-x)/x. Rewrite the differential equation using Leibniz notation. We can identify that the differential equation \frac{dy}{dx}=\frac{2y-x}{x} is homogeneous, since it is written in the standard form \frac{dy}{dx}=\frac{M(x,y)}{N(x,y)}, where M(x,y) and N(x,y) are the partial derivatives of a two-variable function f(x,y) and both are homogeneous functions of the same degree. Use the substitution: y=ux. Expand and simplify.
Final answer to the problem
$y=\left(C_1x+1\right)x$
