Final answer to the problem
$y=\arcsin\left(\frac{c_1\sqrt{-x+1}}{\sqrt{x+1}}\right)$
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Step-by-step Solution
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- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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1
Multiplying polynomials $dy$ and $1-x^2$
$\tan\left(y\right)\cdot dx+dy-x^2dy=0$
Learn how to solve problems step by step online.
$\tan\left(y\right)\cdot dx+dy-x^2dy=0$
Learn how to solve problems step by step online. Solve the differential equation tan(y)dx+(1-x^2)dy=0. Multiplying polynomials dy and 1-x^2. Group the terms of the equation. Factor the polynomial dy-x^2dy by it's greatest common factor (GCF): dy. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality.
Final answer to the problem
$y=\arcsin\left(\frac{c_1\sqrt{-x+1}}{\sqrt{x+1}}\right)$
