What is the solution for sqrt(x)(dy)/(dx)=e^{7y+sqrt(x)} ?

The solution for sqrt(x)(dy)/(dx)=e^{7y+sqrt(x)} is y=-(ln(-14e^{sqrt(x)}-c_{1}))/7

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sqrt(x)(dy)/(dx)=e^{7y+sqrt(x)}

x \frac{d y}{d x} = e^{7 y + x}

y = - \frac{ln ( - 14 e ^{x} - c _{1} )}{7}

Solution steps

x \frac{d y}{d x} = e^{7 y + x}

Solve separable ODE:

y = - \frac{ln ( - 14 e ^{x} - c _{1} )}{7}

y = - \frac{ln ( - 14 e ^{x} - c _{1} )}{7}

n = 1 \sum \infty 5 (- \frac{1}{6})^{5 n}

f (x) = \frac{2 x ^{2} - x - 1}{2 x + 2}

x \to 0 + lim (x^{20 x})

\frac{d}{d x} (7 x^{4} cot (x))

x y d x - (1 + x^{2}) d y = 0

What is the solution for sqrt(x)(dy)/(dx)=e^{7y+sqrt(x)} ?
The solution for sqrt(x)(dy)/(dx)=e^{7y+sqrt(x)} is y=-(ln(-14e^{sqrt(x)}-c_{1}))/7