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\left(2x-1\right)\cdot dx+\left(3y+7\right)\cdot dy=0

Solve the differential equation (2x-1)dx+(3y+7)dy=0

Answer

$-x+7y+\frac{3}{2}y^2=0+C_0$

Step-by-step explanation

Problem

$\left(2x-1\right)\cdot dx+\left(3y+7\right)\cdot dy=0$
1

Grouping the terms of the differential equation

$\left(7+3y\right)dy=-\left(2x-1\right)dx$

Unlock this step-by-step solution!

Answer

$-x+7y+\frac{3}{2}y^2=0+C_0$
$\left(2x-1\right)\cdot dx+\left(3y+7\right)\cdot dy=0$

Main topic:

First order differential equations

Used formulas:

4. See formulas

Time to solve it:

~ 0.35 seconds