What is the solution for (dy)/(dx)+(4/(76+3x))y=4.2 ?

The solution for (dy)/(dx)+(4/(76+3x))y=4.2 is

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(dy)/(dx)+(4/(76+3x))y=4.2

\frac{d y}{d x} + (\frac{4}{76 + 3 x}) y = 4.2

y = \frac{4.2 ( x ( 76 + 3 x ) ^{\frac{4}{3}} - 0.19047 \dots ( ( 3 x + 76 ) ^{\frac{7}{3}} - 133 ( 3 x + 76 ) ^{\frac{4}{3}} ) )}{( 76 + 3 x ) ^{\frac{4}{3}}} + \frac{c _{1}}{( 76 + 3 x ) ^{\frac{4}{3}}}

Solution steps

\frac{d y}{d x} + (\frac{4}{76 + 3 x}) y = 4.2

Solve linear ODE:

y = \frac{4.2 ( x ( 76 + 3 x ) ^{\frac{4}{3}} - 0.19047 \dots ( ( 3 x + 76 ) ^{\frac{7}{3}} - 133 ( 3 x + 76 ) ^{\frac{4}{3}} ) )}{( 76 + 3 x ) ^{\frac{4}{3}}} + \frac{c _{1}}{( 76 + 3 x ) ^{\frac{4}{3}}}

y = \frac{4.2 ( x ( 76 + 3 x ) ^{\frac{4}{3}} - 0.19047 \dots ( ( 3 x + 76 ) ^{\frac{7}{3}} - 133 ( 3 x + 76 ) ^{\frac{4}{3}} ) )}{( 76 + 3 x ) ^{\frac{4}{3}}} + \frac{c _{1}}{( 76 + 3 x ) ^{\frac{4}{3}}}

What is the solution for (dy)/(dx)+(4/(76+3x))y=4.2 ?
The solution for (dy)/(dx)+(4/(76+3x))y=4.2 is