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Popular >

cos^2(t)(dy)/(dt)=1

Solution

cos^{2} (t) \frac{d y}{d t} = 1

Solution

y = tan (t) + c_{1}

Solution steps

cos^{2} (t) \frac{d y}{d t} = 1

Substitute

\frac{d y}{d t}

with

y^{'} (t)

cos^{2} (t) y^{^{'}} (t) = 1

Isolate

y^{'} (t) : y^{'} (t) = \frac{1}{cos ^{2} ( t )}

If

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

then

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

y = \int \frac{1}{cos ^{2} ( t )} d t

\int \frac{1}{cos ^{2} ( t )} d t = tan (t) + c_{1}

y = tan (t) + c_{1}

Popular Examples

derivative of (3x-1/(sqrt(x)))

\frac{d}{d x} (\frac{3 x - 1}{x})

(\partial)/(\partial x)(sqrt(2x^2+3y^2))

\frac{\partial}{\partial x} (2 x^{2} + 3 y^{2})

(d^2)/(dx^2)(x^2)

\frac{d ^{2}}{d x ^{2}} (x^{2})

integral from 0 to 16 of sin(sqrt(x))

\int_{0}^{16} sin (x) d x

integral of sin^n(x)

\int sin^{n} (x) d x

Frequently Asked Questions (FAQ)

What is the solution for cos^2(t)(dy)/(dt)=1 ?
The solution for cos^2(t)(dy)/(dt)=1 is y=tan(t)+c_{1}