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Popular >

y^'(x^2+1)=y

Solution

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

Solution

y = e^{x + c_{1}}

Solution steps

y^{'} (x) = y

Solve separable ODE:

y = e^{x + c_{1}}

y = e^{x + c_{1}}

Popular Examples

derivative of (sqrt(x)+1/(sqrt(x))^2)

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

d/(dt)((cos(t))/(sqrt(1+t^2)))

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

integral of (x^5)/(sqrt(a-bx^3))

\int \frac{x ^{5}}{a - b x ^{3}} d x

derivative of (x^5/(4-x^4))

\frac{d}{d x} (\frac{x ^{5}}{4 - x ^{4}})

derivative of (5x^{9x})

\frac{d}{d x} ((5 x)^{9 x})

Frequently Asked Questions (FAQ)

What is the solution for y^'(x^2+1)=y ?
The solution for y^'(x^2+1)=y is y=e^{x+c_{1}}