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Popular >

y^'=(x-14)^2

Solution

y^{^{'}} = (x - 14)^{2}

Solution

y = \frac{x ^{3}}{3} - 14 x^{2} + 196 x + c_{1}

Solution steps

y^{'} (x) = (x - 14)^{2}

If

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

then

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

y = \int (x - 14)^{2} d x

\int (x - 14)^{2} d x = \frac{x ^{3}}{3} - 14 x^{2} + 196 x + c_{1}

y = \frac{x ^{3}}{3} - 14 x^{2} + 196 x + c_{1}

Popular Examples

y^{''}+324y=sec(18x),y(0)=2,y^'(0)=-1

y^{^{''}} + 324 y = sec (18 x), y (0) = 2, y^{^{'}} (0) = - 1

sum from n=3 to infinity of 3/(n^2-3n+2)

n = 3 \sum \infty \frac{3}{n ^{2} - 3 n + 2}

limit as x approaches 0 of ((1+x)^2)/x

x \to 0 lim (\frac{( 1 + x ) ^{2}}{x})

integral of ((ln(x))^2+1)/(ln(x))

\int \frac{( ln ( x ) ) ^{2} + 1}{ln ( x )} d x

y^'=(e^{x-y})/(e^x+1)

y^{^{'}} = \frac{e ^{x - y}}{e ^{x} + 1}

Frequently Asked Questions (FAQ)

What is the solution for y^'=(x-14)^2 ?
The solution for y^'=(x-14)^2 is y=(x^3)/3-14x^2+196x+c_{1}