What is the solution for (dy)/(dx)=e^{4x-3y} ?

The solution for (dy)/(dx)=e^{4x-3y} is y=(ln(3/4 e^{4x}+c_{1}))/3

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(dy)/(dx)=e^{4x-3y}

\frac{d y}{d x} = e^{4 x - 3 y}

y = \frac{ln ( \frac{3}{4} e ^{4 x} + c _{1} )}{3}

Solution steps

\frac{d y}{d x} = e^{4 x - 3 y}

Solve separable ODE:

y = \frac{ln ( \frac{3}{4} e ^{4 x} + c _{1} )}{3}

y = \frac{ln ( \frac{3}{4} e ^{4 x} + c _{1} )}{3}

2 x^{2} - 7 x + 5, at x = 2

f (x) = x^{2} - 3 x + 5

x \to 0 + lim (e^{- \frac{2}{x ^{3}}})

x, 9

f (x) = \frac{5}{x - 4}, at x = 3

What is the solution for (dy)/(dx)=e^{4x-3y} ?
The solution for (dy)/(dx)=e^{4x-3y} is y=(ln(3/4 e^{4x}+c_{1}))/3