What is the solution for (dy)/(dx)y=7^x ?

The solution for (dy)/(dx)y=7^x is y=sqrt((2*7^x+c_{1))/(ln(7))},y=-sqrt((2*7^x+c_{1))/(ln(7))}

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(dy)/(dx)y=7^x

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

y = \frac{2 \cdot 7 ^{x} + c _{1}}{ln ( 7 )}, y = - \frac{2 \cdot 7 ^{x} + c _{1}}{ln ( 7 )}

Solution steps

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

Solve separable ODE:

y = \frac{2 \cdot 7 ^{x} + c _{1}}{ln ( 7 )}, y = - \frac{2 \cdot 7 ^{x} + c _{1}}{ln ( 7 )}

y = \frac{2 \cdot 7 ^{x} + c _{1}}{ln ( 7 )}, y = - \frac{2 \cdot 7 ^{x} + c _{1}}{ln ( 7 )}

\frac{\partial}{\partial y} (\frac{2}{y})

x^{2} y^{^{'}} - 4 x y = sin (3 x) x^{6}

f (x) = 2 sec (x) tan (x)

\int \frac{( 6 + e ^{x} ) ^{2}}{e ^{x}} d x

f (x) = e^{x} + ln (x + 1)

What is the solution for (dy)/(dx)y=7^x ?
The solution for (dy)/(dx)y=7^x is y=sqrt((2*7^x+c_{1))/(ln(7))},y=-sqrt((2*7^x+c_{1))/(ln(7))}