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Popular >

y(dx)/(dy)=cos^2(x)

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

(dy)/(dx)=xy^2-y^2+x-1

\frac{d y}{d x} = x y^{2} - y^{2} + x - 1

14y^6(dy)/(dx)=8x^7

14 y^{6} \frac{d y}{d x} = 8 x^{7}

7sqrt(xy)(dy)/(dx)=4,y>0,x>0

7 x y \frac{d y}{d x} = 4, y > 0, x > 0

y^'=(ln(x)(y^2+1))/(xy)

y^{^{'}} = \frac{ln ( x ) ( y ^{2} + 1 )}{x y}

(dy)/(dx)=xsqrt(y),y(-1)= 25/16

\frac{d y}{d x} = x y, y (- 1) = \frac{25}{16}

Frequently Asked Questions (FAQ)

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