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Popular >

(dy)/(dx)x^2+y^2=77

Solution

\frac{d y}{d x} x^{2} + y^{2} = 77

Solution

y = \frac{77 e ^{277 c_{1}}}{e ^{\frac{2 77}{x}} - e ^{277 c_{1}}} + \frac{77 e ^{\frac{2 77}{x}}}{e ^{\frac{2 77}{x}} - e ^{277 c_{1}}}

Solution steps

\frac{d y}{d x} x^{2} + y^{2} = 77

Solve Bernoulli ODE:

y = \frac{77 e ^{277 c_{1}}}{e ^{\frac{2 77}{x}} - e ^{277 c_{1}}} + \frac{77 e ^{\frac{2 77}{x}}}{e ^{\frac{2 77}{x}} - e ^{277 c_{1}}}

y = \frac{77 e ^{277 c_{1}}}{e ^{\frac{2 77}{x}} - e ^{277 c_{1}}} + \frac{77 e ^{\frac{2 77}{x}}}{e ^{\frac{2 77}{x}} - e ^{277 c_{1}}}

Popular Examples

(dy)/(dx)=sec(y)

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

y^'=3x^2y^2,y(-1)=a,y(0)=1

y^{^{'}} = 3 x^{2} y^{2}, y (- 1) = a, y (0) = 1

3 d x + y d y = 0

(dy)/(dx)=(xy-4x+y-4)/(xy-6x-3y+18)

\frac{d y}{d x} = \frac{x y - 4 x + y - 4}{x y - 6 x - 3 y + 18}

(dy)/(dx)=x^2(y-2),y(0)=4

\frac{d y}{d x} = x^{2} (y - 2), y (0) = 4

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)x^2+y^2=77 ?
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