ODE No. 227

\[ (4 y(x)-3 x-5) y'(x)-3 y(x)+7 x+2=0 \] Mathematica : cpu = 0.0223636 (sec), leaf count = 107

DSolve[2 + 7*x - 3*y[x] + (-5 - 3*x + 4*y[x])*Derivative[1][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to \frac {1}{4} (3 x+5)-\frac {1}{2} i \sqrt {-2 \left (-\frac {7 x^2}{2}-2 x\right )-\frac {1}{4} (3 x+5)^2-4 c_1}\right \},\left \{y(x)\to \frac {1}{4} (3 x+5)+\frac {1}{2} i \sqrt {-2 \left (-\frac {7 x^2}{2}-2 x\right )-\frac {1}{4} (3 x+5)^2-4 c_1}\right \}\right \}\] Maple : cpu = 0.165 (sec), leaf count = 33

dsolve((4*y(x)-3*x-5)*diff(y(x),x)-3*y(x)+7*x+2 = 0,y(x))
 

\[y \left (x \right ) = \frac {-\sqrt {4-6859 \left (x -\frac {7}{19}\right )^{2} c_{1}^{2}}+\left (57 x +95\right ) c_{1}}{76 c_{1}}\]