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Popular Calculus >

(dy)/(dx)=ysec^2(x)

Solution

\frac{d y}{d x} = y sec^{2} (x)

Solution

y = e^{t a n (x) + c_{1}}

Solution steps

\frac{d y}{d x} = y sec^{2} (x)

Solve separable ODE:

y = e^{t a n (x) + c_{1}}

y = e^{t a n (x) + c_{1}}

Graph

Popular Examples

3 y^{^{''}} + 108 y = 0

integral of (x-3)(sqrt(x+3))

\int (x - 3) (x + 3) d x

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\frac{d}{d x} (- 4 cos^{3} (x))

limit as x approaches 3 of 4

x \to 3 lim (4)

derivative of 15x-0.4x^2-80

d er i v a t i v e 15 x - 0.4 x^{2} - 80

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=ysec^2(x) ?
The solution for (dy)/(dx)=ysec^2(x) is y=e^{tan(x)+c_{1}}