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Exercise

$\frac{dy}{dx}\:y=3u+2\:y\:u=2x+3$

Step-by-step Solution

Learn how to solve problems step by step online. Solve the differential equation dy/dxy=3u+2yu=2x+3. 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. Simplify the expression \frac{y}{3u+2yu}dy. Divide both sides of the equation by dx. 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.
Solve the differential equation dy/dxy=3u+2yu=2x+3

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Final answer to the exercise

$\frac{1}{2}y-\frac{3}{4}\ln\left(3+2y\right)=x^2+3x+C_0- \frac{3}{4}$

Try other ways to solve this exercise

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  • Exact Differential Equation
  • Linear Differential Equation
  • Separable Differential Equations
  • Homogeneous Differential Equation
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
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