Final answer to the problem
$-3\cos\left(y^2\right)=4x\sin\left(x\right)+4\cos\left(x\right)+C_0$
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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
Integrate both sides of the differential equation, the left side with respect to $y$, and the right side with respect to $x$
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$\int6y\sin\left(y^2\right)dy=\int4x\cos\left(x\right)dx$
Learn how to solve problems step by step online. Solve the differential equation 6ysin(y^2)dy=4xcos(x)dx. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x. Solve the integral \int6y\sin\left(y^2\right)dy and replace the result in the differential equation. Solve the integral \int4x\cos\left(x\right)dx and replace the result in the differential equation.
Final answer to the problem
$-3\cos\left(y^2\right)=4x\sin\left(x\right)+4\cos\left(x\right)+C_0$
