What is the solution for (dy)/(dx)=4x-5y ?

The solution for (dy)/(dx)=4x-5y is y=(4(5x-1))/(25)+(c_{1})/(e^{5x)}

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(dy)/(dx)=4x-5y

\frac{d y}{d x} = 4 x - 5 y

y = \frac{4 ( 5 x - 1 )}{25} + \frac{c _{1}}{e ^{5 x}}

Solution steps

\frac{d y}{d x} = 4 x - 5 y

Solve linear ODE:

y = \frac{4 ( 5 x - 1 )}{25} + \frac{c _{1}}{e ^{5 x}}

y = \frac{4 ( 5 x - 1 )}{25} + \frac{c _{1}}{e ^{5 x}}

2 x^{2} + 5 x + 1

cos^{2} (t) y^{^{'}} = 1

\int \frac{1}{e ^{y}} d y

\int_{- 5}^{5} 25 - x^{2} d x

\frac{d y}{d x} + \frac{2 x}{1 + x ^{2}} y = - 2 x y^{2}

What is the solution for (dy)/(dx)=4x-5y ?
The solution for (dy)/(dx)=4x-5y is y=(4(5x-1))/(25)+(c_{1})/(e^{5x)}