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Popular >

y^'=xe^6

Solution

y^{^{'}} = x e^{6}

Solution

y = \frac{e ^{6} x ^{2}}{2} + c_{1}

Solution steps

y^{'} (x) = x e^{6}

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int x e^{6} d x

\int x e^{6} d x = \frac{e ^{6} x ^{2}}{2} + c_{1}

y = \frac{e ^{6} x ^{2}}{2} + c_{1}

Popular Examples

integral of ((x^2+1)(x^4-x^2+1))/(2x^3)

\int \frac{( x ^{2} + 1 ) ( x ^{4} - x ^{2} + 1 )}{2 x ^{3}} d x

derivative of (1+9x^2)(x+x^2)derivative of

(1 + 9 x^{2}) (x + x^{2})

integral of 2/(4-9x^2)

\int \frac{2}{4 - 9 x ^{2}} d x

limit as x approaches-4 of 6-3x

x \to - 4 lim (6 - 3 x)

derivative of y=x^22^{x^2}derivative of

y = x^{2} 2^{x^{2}}

Frequently Asked Questions (FAQ)

What is the solution for y^'=xe^6 ?
The solution for y^'=xe^6 is y=(e^6x^2)/2+c_{1}