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Popular >

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

Solution

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

Solution

y = tan (ln (x) + c_{1})

Solution steps

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

Solve separable ODE:

y = tan (ln (x) + c_{1})

y = tan (ln (x) + c_{1})

Popular Examples

integral of (1/(4+x^2))

\int (\frac{1}{4 + x ^{2}}) d x

((x^2)/(x^2-x-2))^'

(\frac{x ^{2}}{x ^{2} - x - 2})^{^{'}}

inverse oflaplace (2s-3)/((s+4)(s-3)^3)inverse laplace

\frac{2 s - 3}{( s + 4 ) ( s - 3 ) ^{3}}

integral of (15x^4)/(x^5+7)

\int \frac{15 x ^{4}}{x ^{5} + 7} d x

(\partial)/(\partial x)(-2ysin(x))

\frac{\partial}{\partial x} (- 2 y sin (x))

Frequently Asked Questions (FAQ)

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